Life Guards

WOMEN'S SPEEDO LIFEGUARD SWIMSUIT SIZE 32/8
WOMEN'S SPEEDO LIFEGUARD SWIMSUIT SIZE 32/8
$4.99

Kyser KLHA Lifeguard Acoustic Guitar Humidifier
Kyser KLHA Lifeguard Acoustic Guitar Humidifier
$14.99

LEGO Minifigure Series 12 #71007 –Life Guard
LEGO Minifigure Series 12 #71007 –Life Guard
$5.50

W. BRITAIN TOY SOLDIERS - 8824 MOUNTED LIFEGUARD
W. BRITAIN TOY SOLDIERS - 8824 MOUNTED LIFEGUARD
$14.99

Life Jacket Vest Adult PFD Type III Fully Enclosed US Coast Guard Approved SAFE!
Life Jacket Vest Adult PFD Type III Fully Enclosed US Coast Guard Approved SAFE!
$33.57

Custom Marvel Legends X-Men Lifeguard by Toyphilia
Custom Marvel Legends X-Men Lifeguard by Toyphilia
$60.00

Action Man 12 inch 40th Anniversary Collection British Life Guard Figure
Action Man 12 inch 40th Anniversary Collection British Life Guard Figure
$51.00

550 Paracord Mil Spec Type III 7 strand parachute cord 25ft, 50ft, 100 ft
550 Paracord Mil Spec Type III 7 strand parachute cord 25ft, 50ft, 100 ft
$7.99

Old BRITAINS Lead, Mounted Band of the Life Guards, 12pc Boxed Set #101, c.1950s
Old BRITAINS Lead, Mounted Band of the Life Guards, 12pc Boxed Set #101, c.1950s
$149.99

Old JOHILLCO Lead, Life Guards, 5 Piece Boxed Set #S.101, 1930s Britains England
Old JOHILLCO Lead, Life Guards, 5 Piece Boxed Set #S.101, 1930s Britains England
$55.99

NEW BODY GLOVE LIFE VEST MEN RED LARGE LIFE JACKET YAMAMOTO COAST GUARD APPROVED
NEW BODY GLOVE LIFE VEST MEN RED LARGE LIFE JACKET YAMAMOTO COAST GUARD APPROVED
$38.00

Old BRITAINS Lead, Life Guards Mounted With Officer, Set #9206, c.1961, 4 Pieces
Old BRITAINS Lead, Life Guards Mounted With Officer, Set #9206, c.1961, 4 Pieces
$45.99

Disney DLR - Paradise Pier Hotel Resort Mickey As A Lifeguard Hinged Pin
Disney DLR - Paradise Pier Hotel Resort Mickey As A Lifeguard Hinged Pin
$3.25

Hardcore Adult XXL/3XL Life Jacket Fully Enclosed Coast Guard PFD Ski Vest
Hardcore Adult XXL/3XL Life Jacket Fully Enclosed Coast Guard PFD Ski Vest
$23.35

Various Lifeguard Patches
Various Lifeguard Patches
$25.00

VINTAGE BRITAINS METAL MODELS TOY SOLDIERS #7228 3 HORSE MOUNTED LIFEGUARDS
VINTAGE BRITAINS METAL MODELS TOY SOLDIERS #7228 3 HORSE MOUNTED LIFEGUARDS
$14.99

Type II Orange Life Jacket Vest PFD - Adult Universal - Coast Guard Approved
Type II Orange Life Jacket Vest PFD - Adult Universal - Coast Guard Approved
$11.65

Super Smurf Lifeguard  PLAYSET COMPLETE WEST GERMANY 1983 PEYO
Super Smurf Lifeguard PLAYSET COMPLETE WEST GERMANY 1983 PEYO
$12.99

VINTAGE BRITAINS METAL MODELS TOY SOLDIERS #7228 ROYAL MOUNTED LIFEGUARDS
VINTAGE BRITAINS METAL MODELS TOY SOLDIERS #7228 ROYAL MOUNTED LIFEGUARDS
$14.99

Lego Series 12 Minifigure Lifeguard
Lego Series 12 Minifigure Lifeguard
$4.99

VINTAGE BRITAINS METAL MODELS TOY SOLDIERS #7228 ROYAL MOUNTED LIFEGUARDS
VINTAGE BRITAINS METAL MODELS TOY SOLDIERS #7228 ROYAL MOUNTED LIFEGUARDS
$14.99

VINTAGE BRITAINS METAL MODELS TOY SOLDIERS #7228 ROYAL MOUNTED LIFEGUARDS
VINTAGE BRITAINS METAL MODELS TOY SOLDIERS #7228 ROYAL MOUNTED LIFEGUARDS
$14.99

(10) Guard Rails Life Like HO Slot Track Like-Like
(10) Guard Rails Life Like HO Slot Track Like-Like
$9.99

VINTAGE BRITAINS METAL MODELS TOY SOLDIERS #7229 ROYAL MOUNTED LIFEGUARDS
VINTAGE BRITAINS METAL MODELS TOY SOLDIERS #7229 ROYAL MOUNTED LIFEGUARDS
$14.99

Grenadier Miniatures 200mm Officer 1st Life Guards Waterloo Bust Resin  Kit
Grenadier Miniatures 200mm Officer 1st Life Guards Waterloo Bust Resin Kit
$30.80

Lego Lifeguard Station / Referee Stand 41008 Friends Sports Pool Tennis Beach
Lego Lifeguard Station / Referee Stand 41008 Friends Sports Pool Tennis Beach
$8.70

Pendant of Life Legends of The Hidden Temple Temple Guard Prop New
Pendant of Life Legends of The Hidden Temple Temple Guard Prop New
$4.99

LEGO #8684 Mini figure Series 2 LIFEGUARD
LEGO #8684 Mini figure Series 2 LIFEGUARD
$1.30

BESWICK HORSE & RIDER LIFEGUARD STYLE ONE MODEL 1624 EARLY MODEL GREDINGTON AF
BESWICK HORSE & RIDER LIFEGUARD STYLE ONE MODEL 1624 EARLY MODEL GREDINGTON AF
$363.59

Lifeguard Speedo Bag
Lifeguard Speedo Bag
$9.95

M837. VINTAGE: PEANUTS Character SNOOPY LIFE GUARD Ceramic Piggy Bank~
M837. VINTAGE: PEANUTS Character SNOOPY LIFE GUARD Ceramic Piggy Bank~
$9.95

AFLAC ducks - 7: doctor, lifeguard, business, 2007 Holiday, baseball, graduation
AFLAC ducks - 7: doctor, lifeguard, business, 2007 Holiday, baseball, graduation
$10.50

OEM ZF Lifeguard 6  Automatic Transmission Fluid    S671090255
OEM ZF Lifeguard 6 Automatic Transmission Fluid S671090255
$26.00

BRITISH ARMY WW1 OR LATER LIFE GUARDS CAP HAT BADGE INSIGNIA
BRITISH ARMY WW1 OR LATER LIFE GUARDS CAP HAT BADGE INSIGNIA
$3.07

Red Speedo Life Guard Swim Suit TOP  ~ Sz- 12
Red Speedo Life Guard Swim Suit TOP ~ Sz- 12
$0.99

LEGO Minifigure Series 12 - Lifeguard 71007
LEGO Minifigure Series 12 - Lifeguard 71007
$5.99

Lego Friends Emma's Lifeguard Post (41028)
Lego Friends Emma's Lifeguard Post (41028)
$7.00

Lego City 30225 Coast Guard Sea Plane Polybag Life Jacket Minifigure FAST S
Lego City 30225 Coast Guard Sea Plane Polybag Life Jacket Minifigure FAST S
$1.99

LEGO Minifigure Series 2 - Lifeguard 8684
LEGO Minifigure Series 2 - Lifeguard 8684
$6.99

 SERIES 77  BRITISH DRAGOON LIFE GUARD TOY SOLDIER  CAST METAL 1960'S ENGLAND
SERIES 77 BRITISH DRAGOON LIFE GUARD TOY SOLDIER CAST METAL 1960'S ENGLAND
$9.99

Lego Minifigures Series 12 Lifeguard
Lego Minifigures Series 12 Lifeguard
$0.99

Choose Your Item(s) - Lego Mini Figures 71007 Series 12 with Online Game Code
Choose Your Item(s) - Lego Mini Figures 71007 Series 12 with Online Game Code
$3.89

Victoria's Secret VS Collection Angel Wing Flip Flops 8 Blue Lifeguard Stripe
Victoria's Secret VS Collection Angel Wing Flip Flops 8 Blue Lifeguard Stripe
$6.50

TOYOTA Tacoma SR5 4x4 TRD Baja Truck Pickup Patrol Life Guard Beach Hi-Lux JDM
TOYOTA Tacoma SR5 4x4 TRD Baja Truck Pickup Patrol Life Guard Beach Hi-Lux JDM
$0.99

Lifeguard Life Guard Adult Pullover Hoodie Sweatshirt Adult Red White New S-XL
Lifeguard Life Guard Adult Pullover Hoodie Sweatshirt Adult Red White New S-XL
$25.49

Lionel 6-16970 LA County Flatcar with Operating Lifeguard Boat~NEW
Lionel 6-16970 LA County Flatcar with Operating Lifeguard Boat~NEW
$0.99

LINDBERG BAYWATCH LIFEGUARD TRUCK 1:20 MODEL KIT 72588 FACTORY SEALED
LINDBERG BAYWATCH LIFEGUARD TRUCK 1:20 MODEL KIT 72588 FACTORY SEALED
$8.49

Lifeguard  Adult Hoodie Sweatshirt  Red Life Guard Brand New
Lifeguard Adult Hoodie Sweatshirt Red Life Guard Brand New
$24.95

SUPERMAN #54 VG- 1948 LIFEGUARD COVER
SUPERMAN #54 VG- 1948 LIFEGUARD COVER
$43.00

LEGO Coast Guard Helicopter & Life Raft 7738 100% Complete with Instructions
LEGO Coast Guard Helicopter & Life Raft 7738 100% Complete with Instructions
$29.99

LEGO 7738 City Coast Guard Helicopter and Life Raft
LEGO 7738 City Coast Guard Helicopter and Life Raft
$25.60

Lifeguard Fanny Pack - First Responder
Lifeguard Fanny Pack - First Responder
$16.95

SP1 Janie and Jack Beachfront Summer 5 6 NWT lifeguard applique tee swim trunks
SP1 Janie and Jack Beachfront Summer 5 6 NWT lifeguard applique tee swim trunks
$13.05

JANIE AND JACK BEACHFRONT SUMMER STRIPED SHORTS LIFEGUARD SHIRT 4T OUTFIT
JANIE AND JACK BEACHFRONT SUMMER STRIPED SHORTS LIFEGUARD SHIRT 4T OUTFIT
$17.00

Lifeguard on Beer Break TIN SIGN funny vtg metal pool beach bar no swimming OHW
Lifeguard on Beer Break TIN SIGN funny vtg metal pool beach bar no swimming OHW
$11.78

SERIES 12 LEGO MINIFIGURES OF THE PIZZA DELIVERY GUY & LIFEGUARD--PACKAGE FRESH
SERIES 12 LEGO MINIFIGURES OF THE PIZZA DELIVERY GUY & LIFEGUARD--PACKAGE FRESH
$3.25

Lifeguard by James Patterson and Andrew Gross (2005, CD, Unabridged)
Lifeguard by James Patterson and Andrew Gross (2005, CD, Unabridged)
$0.99

Patch BAYWATCH Lifeguard Life Guard Shoulder
Patch BAYWATCH Lifeguard Life Guard Shoulder
$9.99

NEW LACOSTE SIZE 9 XXXL Pima Cotton Crew Neck T-Shirt S/S Mens LIFEGUARD ORANGE
NEW LACOSTE SIZE 9 XXXL Pima Cotton Crew Neck T-Shirt S/S Mens LIFEGUARD ORANGE
$29.99

Life Essential Stainless Steel Protector Finger Slice Knife Hand Guard Chop New
Life Essential Stainless Steel Protector Finger Slice Knife Hand Guard Chop New
$0.30

James Patterson and Andrew Gross ~ Lifeguard ~ First Edition ~ Hardcover
James Patterson and Andrew Gross ~ Lifeguard ~ First Edition ~ Hardcover
$5.00

Hardcore Adult XXL/3XL Life Jacket Fully Enclosed Coast Guard PFD Ski Vest Red
Hardcore Adult XXL/3XL Life Jacket Fully Enclosed Coast Guard PFD Ski Vest Red
$15.95

British Life Guards Drum Banner- ML11767
British Life Guards Drum Banner- ML11767
$295.00

NEW Bottle Starlight LIFEGuard Advanced Antioxidant Therapy Nutrient 60 Tablets
NEW Bottle Starlight LIFEGuard Advanced Antioxidant Therapy Nutrient 60 Tablets
$15.99

Gymboree boys shorts outfit red lifeguard tee plaid shorts 5T
Gymboree boys shorts outfit red lifeguard tee plaid shorts 5T
$8.00

Mattel European Exclusive 1994 Baywatch Teresa Life Guard Barbie Doll
Mattel European Exclusive 1994 Baywatch Teresa Life Guard Barbie Doll
$6.99

Red Venice beach lifeguard sweatshirt size small
Red Venice beach lifeguard sweatshirt size small
$5.50

BRITAINS SET 50 LIFE GUARDS AND 4TH HUSSARS 1966
BRITAINS SET 50 LIFE GUARDS AND 4TH HUSSARS 1966
$375.00

15 ft. x 25 ft. LifeGuard 45 mil EPDM Pond Liner and UnderGuard Geotextile Un...
15 ft. x 25 ft. LifeGuard 45 mil EPDM Pond Liner and UnderGuard Geotextile Un...
$250.00

Household Cavalry Captain and Life Guards 1901 Transvaal War color print
Household Cavalry Captain and Life Guards 1901 Transvaal War color print
$3.49

#44 VINTAGE 35mm SLIDE SPEEDO SWIMSUIT MEN TEEN BOYS LIFEGUARDS GAY BEACH BULGE
#44 VINTAGE 35mm SLIDE SPEEDO SWIMSUIT MEN TEEN BOYS LIFEGUARDS GAY BEACH BULGE
$18.95

#45 VINTAGE 35mm SLIDE SPEEDO SWIMSUIT MEN TEEN BOYS LIFEGUARDS GAY BEACH BULGE
#45 VINTAGE 35mm SLIDE SPEEDO SWIMSUIT MEN TEEN BOYS LIFEGUARDS GAY BEACH BULGE
$18.95

LEGO 8684 COLLECTABLE MINIFIGURE Series 2 #8 Life Guard
LEGO 8684 COLLECTABLE MINIFIGURE Series 2 #8 Life Guard
$6.98

#46 VINTAGE 35mm SLIDE SPEEDO SWIMSUIT MEN TEEN BOYS LIFEGUARDS GAY BEACH BULGE
#46 VINTAGE 35mm SLIDE SPEEDO SWIMSUIT MEN TEEN BOYS LIFEGUARDS GAY BEACH BULGE
$18.95

#47 VINTAGE 35mm SLIDE SPEEDO SWIMSUIT MEN TEEN BOYS LIFEGUARDS GAY BEACH BULGE
#47 VINTAGE 35mm SLIDE SPEEDO SWIMSUIT MEN TEEN BOYS LIFEGUARDS GAY BEACH BULGE
$18.95

#48 VINTAGE 35mm SLIDE SPEEDO SWIMSUIT MEN TEEN BOYS LIFEGUARDS GAY BEACH BULGE
#48 VINTAGE 35mm SLIDE SPEEDO SWIMSUIT MEN TEEN BOYS LIFEGUARDS GAY BEACH BULGE
$18.95

BRADLEY Camo Fishing Vest Life Jacket US Coast Guard Approved PFD with 2 pockets
BRADLEY Camo Fishing Vest Life Jacket US Coast Guard Approved PFD with 2 pockets
$29.99

#49 VINTAGE 35mm SLIDE SPEEDO SWIMSUIT MEN TEEN BOYS LIFEGUARDS GAY BEACH BULGE
#49 VINTAGE 35mm SLIDE SPEEDO SWIMSUIT MEN TEEN BOYS LIFEGUARDS GAY BEACH BULGE
$18.95

BARBIE DOLL CLOTHES - 3 BAYWATCH LIFEGUARD SWIMSUIT SHORTS & JACKETS
BARBIE DOLL CLOTHES - 3 BAYWATCH LIFEGUARD SWIMSUIT SHORTS & JACKETS
$3.99

LIFEGUARD - 5
LIFEGUARD - 5" Russ Troll Doll - NEW IN ORIGINAL WRAPPER
$9.95

#50 VINTAGE 35mm SLIDE SPEEDO SWIMSUIT MEN TEEN BOYS LIFEGUARDS GAY BEACH BULGE
#50 VINTAGE 35mm SLIDE SPEEDO SWIMSUIT MEN TEEN BOYS LIFEGUARDS GAY BEACH BULGE
$18.95

#51 VINTAGE 35mm SLIDE SPEEDO SWIMSUIT MEN TEEN BOYS LIFEGUARDS GAY BEACH BULGE
#51 VINTAGE 35mm SLIDE SPEEDO SWIMSUIT MEN TEEN BOYS LIFEGUARDS GAY BEACH BULGE
$18.95

MATCHBOX,2014,HEROIC,RESCUE,TOYOTA,TACOMA,TRUCK,PICKUP,RED,LIFE,GUARD,PATROL,
MATCHBOX,2014,HEROIC,RESCUE,TOYOTA,TACOMA,TRUCK,PICKUP,RED,LIFE,GUARD,PATROL,
$3.89

1898 Stereoview Photo Hungarian Life Guard Hungary Europe photo parade
1898 Stereoview Photo Hungarian Life Guard Hungary Europe photo parade
$17.99

#52 VINTAGE 35mm SLIDE SPEEDO SWIMSUIT MEN TEEN BOYS LIFEGUARDS GAY BEACH BULGE
#52 VINTAGE 35mm SLIDE SPEEDO SWIMSUIT MEN TEEN BOYS LIFEGUARDS GAY BEACH BULGE
$18.95

Mens Lifeguard Swimsuit
Mens Lifeguard Swimsuit
$19.95

#53 VINTAGE 35mm SLIDE SPEEDO SWIMSUIT MEN TEEN BOYS LIFEGUARDS GAY BEACH BULGE
#53 VINTAGE 35mm SLIDE SPEEDO SWIMSUIT MEN TEEN BOYS LIFEGUARDS GAY BEACH BULGE
$18.95

#54 VINTAGE 35mm SLIDE SPEEDO SWIMSUIT MEN TEEN BOYS LIFEGUARDS GAY BEACH BULGE
#54 VINTAGE 35mm SLIDE SPEEDO SWIMSUIT MEN TEEN BOYS LIFEGUARDS GAY BEACH BULGE
$18.95

Guard Dog 3in1 Pepper Spray/CS Tear Gas /UV Dye/ FREE ship and Pepper 4 life
Guard Dog 3in1 Pepper Spray/CS Tear Gas /UV Dye/ FREE ship and Pepper 4 life
$5.79

#55 VINTAGE 35mm SLIDE SPEEDO SWIMSUIT MEN TEEN BOYS LIFEGUARDS GAY BEACH BULGE
#55 VINTAGE 35mm SLIDE SPEEDO SWIMSUIT MEN TEEN BOYS LIFEGUARDS GAY BEACH BULGE
$18.95

#56 VINTAGE 35mm SLIDE SPEEDO SWIMSUIT MEN TEEN BOYS LIFEGUARDS GAY BEACH BULGE
#56 VINTAGE 35mm SLIDE SPEEDO SWIMSUIT MEN TEEN BOYS LIFEGUARDS GAY BEACH BULGE
$18.95

Fox 40 Mini Official Whistle - Referee-Coach,Safety Alert,Dog,Rescue,Lifeguard
Fox 40 Mini Official Whistle - Referee-Coach,Safety Alert,Dog,Rescue,Lifeguard
$6.49

#57 VINTAGE 35mm SLIDE SPEEDO SWIMSUIT MEN TEEN BOYS LIFEGUARDS GAY BEACH BULGE
#57 VINTAGE 35mm SLIDE SPEEDO SWIMSUIT MEN TEEN BOYS LIFEGUARDS GAY BEACH BULGE
$18.95

#58 VINTAGE 35mm SLIDE SPEEDO SWIMSUIT MEN TEEN BOYS LIFEGUARDS GAY BEACH BULGE
#58 VINTAGE 35mm SLIDE SPEEDO SWIMSUIT MEN TEEN BOYS LIFEGUARDS GAY BEACH BULGE
$18.95

Tommy Bahama Denim Island Modern Fit Men's S/S Chambray Shirt Tencel L
Tommy Bahama Denim Island Modern Fit Men's S/S Chambray Shirt Tencel L
$18.99

#59 VINTAGE 35mm SLIDE SPEEDO SWIMSUIT MEN TEEN BOYS LIFEGUARDS GAY BEACH BULGE
#59 VINTAGE 35mm SLIDE SPEEDO SWIMSUIT MEN TEEN BOYS LIFEGUARDS GAY BEACH BULGE
$18.95

#60 VINTAGE 35mm SLIDE SPEEDO SWIMSUIT MEN TEEN BOYS LIFEGUARDS GAY BEACH BULGE
#60 VINTAGE 35mm SLIDE SPEEDO SWIMSUIT MEN TEEN BOYS LIFEGUARDS GAY BEACH BULGE
$18.95

Kyser Lifeguard Humidifier System For Classical Guitars, KLHC
Kyser Lifeguard Humidifier System For Classical Guitars, KLHC
$13.49

#61 VINTAGE 35mm SLIDE SPEEDO SWIMSUIT MEN TEEN BOYS LIFEGUARDS GAY BEACH BULGE
#61 VINTAGE 35mm SLIDE SPEEDO SWIMSUIT MEN TEEN BOYS LIFEGUARDS GAY BEACH BULGE
$18.95

#62 VINTAGE 35mm SLIDE SPEEDO SWIMSUIT MEN TEEN BOYS LIFEGUARDS GAY BEACH BULGE
#62 VINTAGE 35mm SLIDE SPEEDO SWIMSUIT MEN TEEN BOYS LIFEGUARDS GAY BEACH BULGE
$18.95

From a raft 50 meters offshore, a life guard wants to swim to shore and run to a snack bar 100 meters down the?

From a raft 50 meters offshore, a life guard wants to swim to shore and run to a snack bar 100 meters down the beach.
a)if the life guard swims at 1 m/s and runs 3 m/s, express the total swimming and running time t as a function the distance x ( in other words, find t(x).
b)using your answer from part , find the minimum time.

Let a 90 degree angle be a point on shore 100 meters from the snack bar and 50 meters from the raft.

Let x = a point on the beach to swim x meters from the right angle
( 0 <= x <= 100 )

Total distance = sqrt(50^2 + x^2) + 100 - x ... in meters

t (x) = sqrt(50^2 + x^2) / 1 + (100 - x) / 3 ... in seconds

t ' (x) = x / sqrt(x^2 + 2500) - 1/3
x / sqrt(x^2 + 2500) - 1/3 = 0
x = 25 / sqrt(2)

t(25/√2) = sqrt(50^2 + (25/sqrt(2))^2) / 1 + (100 - 25/sqrt(2)) / 3
t(25/√2) = 75 / sqrt(2) + (100 - 25/sqrt(2)) / 3

(about) 80.47 seconds
by swimming to a point on the beach
100 - 25/sqrt(2) (about 82.3) meters from the snack bar

Queens Life Guard

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