Life Guards

Lifeguard Bathing Suit Two=piece
Lifeguard Bathing Suit Two=piece
$5.99

Lifeguard, Very Good DVDs
Lifeguard, Very Good DVDs
$5.76

Blue Athletic Capri Wide Legs Xl Cocoa Authentic Vintage Lifeguard Down Leg
Blue Athletic Capri Wide Legs Xl Cocoa Authentic Vintage Lifeguard Down Leg
$0.99

Britains 8829 Second Ceremonial Lifeguards Mounted Toy Lead Soldiers
Britains 8829 Second Ceremonial Lifeguards Mounted Toy Lead Soldiers
$30.00

Choose Your Item(s) - Lego Mini Figures 71007 Series 12
Choose Your Item(s) - Lego Mini Figures 71007 Series 12
$5.83

Lego Minifigure Series 12 Lifeguard
Lego Minifigure Series 12 Lifeguard
$0.99

Speedo Lifeguard Guard Racerback Bra Top Two Piece Swimsuit Swim Shorts Size M/S
Speedo Lifeguard Guard Racerback Bra Top Two Piece Swimsuit Swim Shorts Size M/S
$19.99

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

TONKA LIFEGUARD JEEP # 2306 1968 WHIT BOAT    PRESSED STEEL  VINTAGE TOY   !!!
TONKA LIFEGUARD JEEP # 2306 1968 WHIT BOAT PRESSED STEEL VINTAGE TOY !!!
$63.00

License  Plate  Topper   Goodyear  Safety Equipped Lifeguards ...
License Plate Topper Goodyear Safety Equipped Lifeguards ...
$34.99

OPI Nail Polish .. HUGE ASSORTMENT OF COLORS .. Lacquer .5oz / 15 ml
OPI Nail Polish .. HUGE ASSORTMENT OF COLORS .. Lacquer .5oz / 15 ml
$5.91

Jobe Adult XL Extra Large life jacket vest great condition coast guard approved
Jobe Adult XL Extra Large life jacket vest great condition coast guard approved
$6.01

Jobe Adult  Large life jacket vest great condition coast guard approved neoprene
Jobe Adult Large life jacket vest great condition coast guard approved neoprene
$6.01

Life Guards Victorian Officer’s Waist Belt Plate
Life Guards Victorian Officer’s Waist Belt Plate
$203.89

Del Prado like Drum Horse of the life Guard with base painted metal figure
Del Prado like Drum Horse of the life Guard with base painted metal figure
$9.99

QUALITY BOAT LIFE VEST JACKET PRESERVER COAST GUARD APPROVED FLOATATION DVICE XL
QUALITY BOAT LIFE VEST JACKET PRESERVER COAST GUARD APPROVED FLOATATION DVICE XL
$0.99

Lego Minifigures Series 12 Lifeguard
Lego Minifigures Series 12 Lifeguard
$6.75

Ensign 54mm - British Army Offices in Mess Dress c1900 -Lt. 1st Lifeguards
Ensign 54mm - British Army Offices in Mess Dress c1900 -Lt. 1st Lifeguards
$12.00

4 x Vintage Almar Dolls: Policeman, Life Guard, Horse Guard, Mayor.
4 x Vintage Almar Dolls: Policeman, Life Guard, Horse Guard, Mayor.
$1.61

Lego Series 12 Lifeguard Minifigure w/ Brochure & Bag 71007
Lego Series 12 Lifeguard Minifigure w/ Brochure & Bag 71007
$3.95

Abercrombie & Fitch Tower Guard Life Guard Shorts Great Condition Size Small
Abercrombie & Fitch Tower Guard Life Guard Shorts Great Condition Size Small
$0.99

DEPT 56 SEASONS BAY
DEPT 56 SEASONS BAY "LIFEGUARD ON DUTY" # 56.53423 MIB
$12.99

LIFEGUARD - NEW DVD
LIFEGUARD - NEW DVD
$14.44

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

Lot of 10 Boy Scout of America BSA Lifeguard Life Guard Patches
Lot of 10 Boy Scout of America BSA Lifeguard Life Guard Patches
$8.49

BRITAIN SOLDIERS THE LIFE GUARDS METAL,  5 FIGURES
BRITAIN SOLDIERS THE LIFE GUARDS METAL, 5 FIGURES
$44.99

LIFEGUARD HAPPY DUCK LIFE GUARD DUCK WITH BUOY DUCKS  2013 SWAROVSKI    #1143443
LIFEGUARD HAPPY DUCK LIFE GUARD DUCK WITH BUOY DUCKS 2013 SWAROVSKI #1143443
$91.94

The Lifeguard (DVD, 2013) Free Shipping
The Lifeguard (DVD, 2013) Free Shipping
$3.99

1939 Press Photo Santa Monica lifeguards Preston Peterson & Fred Bleecker
1939 Press Photo Santa Monica lifeguards Preston Peterson & Fred Bleecker
$9.99

Guard Dog 3 in 1 Pepper Spray: w/CS Military Tear Gas /FREE Pepper 4 life
Guard Dog 3 in 1 Pepper Spray: w/CS Military Tear Gas /FREE Pepper 4 life
$5.63

Vineyard Vines Southern Ralph XL Mens Shep Shirt Lifeguard Red Pullover
Vineyard Vines Southern Ralph XL Mens Shep Shirt Lifeguard Red Pullover
$64.99

1939 Press Photo Lifeguard  Phipps & John Vereichik at first aid training
1939 Press Photo Lifeguard Phipps & John Vereichik at first aid training
$11.00

Aflac Insurance Talking Plush Duck Lifeguard Life Guard With Tags EUC
Aflac Insurance Talking Plush Duck Lifeguard Life Guard With Tags EUC
$15.95

Life Essential Stainless Steel Protector Finger Slice Knife Hand Guard Chop New
Life Essential Stainless Steel Protector Finger Slice Knife Hand Guard Chop New
$0.19

SPEEDO Xtralife Lycra LIFEGUARD bikini swimwear MENS XS extra small NEW nwt
SPEEDO Xtralife Lycra LIFEGUARD bikini swimwear MENS XS extra small NEW nwt
$9.99

Lifeguard DVD 1976 Sam Elliot Anne Archer
Lifeguard DVD 1976 Sam Elliot Anne Archer
$17.12

 BRITAINS LEAD TOY SOLDIER LIFE GUARDS MOUNTED & STANDING SENTRIES #2029  W/BOX
BRITAINS LEAD TOY SOLDIER LIFE GUARDS MOUNTED & STANDING SENTRIES #2029 W/BOX
$48.73

Surfing Bear Lifeguard Hooded Sweatshirt L Huntington State Beach Lifeguard
Surfing Bear Lifeguard Hooded Sweatshirt L Huntington State Beach Lifeguard
$4.95

Pepper Spray - His & Hers (2) by Guard Dog / FREE pepper 4 life and Shipping
Pepper Spray - His & Hers (2) by Guard Dog / FREE pepper 4 life and Shipping
$8.53

City of Los Angeles Lifeguard Jacket
City of Los Angeles Lifeguard Jacket
$30.00

Wyler Day Date Vintage Lifeguard Model Dynawind Men's Wristwatch
Wyler Day Date Vintage Lifeguard Model Dynawind Men's Wristwatch
$9.95

Lifeguard DVD
Lifeguard DVD
$17.17

AS460 Postcard Artist Signed Harry Payne TUCK 1st Life Guard A scout Military
AS460 Postcard Artist Signed Harry Payne TUCK 1st Life Guard A scout Military
$7.95

*BRITAINS*MOUNTED TOY SOLDIER(HOUSEHOLD CAVALRY/LIFEGUARD?&LANCES)BLACK TUNIC
*BRITAINS*MOUNTED TOY SOLDIER(HOUSEHOLD CAVALRY/LIFEGUARD?&LANCES)BLACK TUNIC
$11.42

Lifeguard Whistle w/Lanyard
Lifeguard Whistle w/Lanyard
$1.95

3 X*BRITAINS*MOUNTED TOY SOLDIER(HOUSEHOLD CAVALRY/LIFEGUARD?&LANCES)BLACK TUNIC
3 X*BRITAINS*MOUNTED TOY SOLDIER(HOUSEHOLD CAVALRY/LIFEGUARD?&LANCES)BLACK TUNIC
$12.15

3 X*BRITAINS*MOUNTED TOY SOLDIER(HOUSEHOLD CAVALRY/LIFEGUARD?&LANCES)RED TUNIC
3 X*BRITAINS*MOUNTED TOY SOLDIER(HOUSEHOLD CAVALRY/LIFEGUARD?&LANCES)RED TUNIC
$12.07

Jamaica Life Guard XL
Jamaica Life Guard XL
$5.99

Westminster Miniatures
Westminster Miniatures "British Lifeguards" 54mm Metal Toy Soldier Set of 8.
$29.99

Hollister HCO Beach Guard lifeguard light hoodie 100% cotton Abercrombie XL
Hollister HCO Beach Guard lifeguard light hoodie 100% cotton Abercrombie XL
$8.49

Carrie LaChance Autographed 8x10 Print COA Lifeguard Bikini Beach Model #05452
Carrie LaChance Autographed 8x10 Print COA Lifeguard Bikini Beach Model #05452
$4.99

NEW LEGO Friends 41028 Emmas Lifeguard Post
NEW LEGO Friends 41028 Emmas Lifeguard Post
$12.60

Lifeguards & Rainbow over beach view -  Rehoboth Beach, Delaware - postcard
Lifeguards & Rainbow over beach view - Rehoboth Beach, Delaware - postcard
$0.75

Sentry Sale! The Sentry Box - Life Guard & 3 Unknown Sentry Guards
Sentry Sale! The Sentry Box - Life Guard & 3 Unknown Sentry Guards
$40.00

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
$23.99

SPEEDO Xtralife Lycra LIFEGUARD bikini swimwear MENS M medium NEW nwt
SPEEDO Xtralife Lycra LIFEGUARD bikini swimwear MENS M medium NEW nwt
$12.62

NAUTICA LIFEGUARD T-shirt SZ M NWT
NAUTICA LIFEGUARD T-shirt SZ M NWT
$2.99

BSA Life Guard patch
BSA Life Guard patch
$4.99

VTG BRITAINS 15 LEAD TOY SOLDIERS LIFEGUARDS,HORSEGUARD HIGHLANDERS,HORSE w CASE
VTG BRITAINS 15 LEAD TOY SOLDIERS LIFEGUARDS,HORSEGUARD HIGHLANDERS,HORSE w CASE
$9.95

FRONTLINE NAPOLEONIC BRITISH 1ST LIFE GUARDS TROOPER
FRONTLINE NAPOLEONIC BRITISH 1ST LIFE GUARDS TROOPER
$19.95

BRITAINS TOY SOLDIERS THE LIFE GUARDS MOUNTED BAND SET 2 5295
BRITAINS TOY SOLDIERS THE LIFE GUARDS MOUNTED BAND SET 2 5295
$212.03

1963 DIANE RAY PLEASE DON'T TALK TO THE LIFEGUARD #31 NM MERCURY 45 RPM RECORD
1963 DIANE RAY PLEASE DON'T TALK TO THE LIFEGUARD #31 NM MERCURY 45 RPM RECORD
$4.25

NWT sz 14 / 40 red Speedo lifeguard Super Pro Back bathing suit ~ Fully lined
NWT sz 14 / 40 red Speedo lifeguard Super Pro Back bathing suit ~ Fully lined
$16.00

ZF LIFEGUARD 6 Automatic Transmission Fluid For BMW Jaguar Benz 6 spd trans
ZF LIFEGUARD 6 Automatic Transmission Fluid For BMW Jaguar Benz 6 spd trans
$22.95

LIFEGUARD Ladies Retro Shorts XS (Size 6) Red Funny Printed Costume CLEARANCE
LIFEGUARD Ladies Retro Shorts XS (Size 6) Red Funny Printed Costume CLEARANCE
$1.70

Matchbox Superfast 2014 Case L #94 1943 Jeep Willys Life Guard Fire Rescue
Matchbox Superfast 2014 Case L #94 1943 Jeep Willys Life Guard Fire Rescue
$2.49

SPEEDO red GUARD lifeguard performance level II Flyback 1pc Swimsuit,6,12,14
SPEEDO red GUARD lifeguard performance level II Flyback 1pc Swimsuit,6,12,14
$24.00

Pottery Barn Kids Surf Island Lifeguard on Duty plaque EXC
Pottery Barn Kids Surf Island Lifeguard on Duty plaque EXC
$39.99

PRE-OWNED WOMENS LIFEGUARD SPEEDO 2-PC SWIMSUIT TOP SZ-8 BOTTOMS SZ-6
PRE-OWNED WOMENS LIFEGUARD SPEEDO 2-PC SWIMSUIT TOP SZ-8 BOTTOMS SZ-6
$5.99

The Lifeguard's Locker
The Lifeguard's Locker
$3.14

Lifeguards-Waving at the Astronauts (CD) Guided by voices
Lifeguards-Waving at the Astronauts (CD) Guided by voices
$3.00

RARE VINTAGE MENS WYLER LIFE GUARD Lifegaurd  Tropic Band + orient blue dial
RARE VINTAGE MENS WYLER LIFE GUARD Lifegaurd Tropic Band + orient blue dial
$49.00

KYSER KLHA LIFEGUARD ACOUSTIC GUITAR HUMIDIFIER
KYSER KLHA LIFEGUARD ACOUSTIC GUITAR HUMIDIFIER
$14.96

LAGUNA BEACH CALIFORNIA LIFEGUARD HOODIE SIZE MEDIUM NICE L@@K
LAGUNA BEACH CALIFORNIA LIFEGUARD HOODIE SIZE MEDIUM NICE L@@K
$19.99

VINTAGE LOUIS MARX 60mm LIFE GUARD SOFT CREAM PLASTIC - EXC
VINTAGE LOUIS MARX 60mm LIFE GUARD SOFT CREAM PLASTIC - EXC
$8.14

VINTAGE WYLER INCAFLEX LIFEGUARD CAL.233 17 JEWEL STAINLESS STEEL WATCH
VINTAGE WYLER INCAFLEX LIFEGUARD CAL.233 17 JEWEL STAINLESS STEEL WATCH
$11.50

LEGENDS Of The HIDDEN TEMPLE Antique Bronze PENDANT OF LIFE Necklace NEW Guard
LEGENDS Of The HIDDEN TEMPLE Antique Bronze PENDANT OF LIFE Necklace NEW Guard
$10.99

SPEEDO Xtralife Lycra LIFEGUARD bikini swimwear MENS S small NEW nwt
SPEEDO Xtralife Lycra LIFEGUARD bikini swimwear MENS S small NEW nwt
$9.99

BARBIE DOLL CLOTHES - BAYWATCH LIFEGUARD SWIMSUIT SET w/ SHOES & MORE
BARBIE DOLL CLOTHES - BAYWATCH LIFEGUARD SWIMSUIT SET w/ SHOES & MORE
$3.99

U.S. COAST GUARD THE SMOKIES OF THE SEA THE LIFE SAVERS PATCH BIG  4 1/2 X 4 1/2
U.S. COAST GUARD THE SMOKIES OF THE SEA THE LIFE SAVERS PATCH BIG 4 1/2 X 4 1/2
$4.98

Britains Swedish Life Guards from set 2035 Lot of 10 Toy soldiers
Britains Swedish Life Guards from set 2035 Lot of 10 Toy soldiers
$99.00

Hot Wheels Summer Racin Series Surf Crate Life Guard Car brown
Hot Wheels Summer Racin Series Surf Crate Life Guard Car brown
$1.50

Massed Band Household Cavalry - Life Guards, Blues Royals - Bandleader - BND1016
Massed Band Household Cavalry - Life Guards, Blues Royals - Bandleader - BND1016
$6.51

 NOS NEW  Wyler LIFEGUARD Case Dynastar Incaflex Stainless Steel Black Dial
NOS NEW Wyler LIFEGUARD Case Dynastar Incaflex Stainless Steel Black Dial
$45.00

### NOS NEW  Wyler “ LIFEGUARD “  Dynastar  Incaflex Stainless Steel Case ###
### NOS NEW Wyler “ LIFEGUARD “ Dynastar Incaflex Stainless Steel Case ###
$45.00

LEGO #8684 Mini figure Series 2 LIFEGUARD
LEGO #8684 Mini figure Series 2 LIFEGUARD
$5.39

Vintage Lifeguard Race Fin Surfboard Longboard Sup Rare
Vintage Lifeguard Race Fin Surfboard Longboard Sup Rare
$25.00

Blue Lifeguard on Duty Nursery Rhyme 3/6 Months Shortall
Blue Lifeguard on Duty Nursery Rhyme 3/6 Months Shortall
$0.99

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

GOLD TUNIC EARLY *WILLIAM BRITAINS*MOUNTED TRUMPETER(LIFEGUARD/CAVALRY)HORSE
GOLD TUNIC EARLY *WILLIAM BRITAINS*MOUNTED TRUMPETER(LIFEGUARD/CAVALRY)HORSE
$1.61

Mist King Urth by Lifeguards (CD, Apr-2003, Recordhead (USA))
Mist King Urth by Lifeguards (CD, Apr-2003, Recordhead (USA))
$0.99

Mens Amish Style Natural Straw Hat Farm Lifeguard Outdoors
Mens Amish Style Natural Straw Hat Farm Lifeguard Outdoors
$11.99

Enesco Cherished Teddies Sheela Girl Lifeguard Australian Exclusive FREESHIP MIB
Enesco Cherished Teddies Sheela Girl Lifeguard Australian Exclusive FREESHIP MIB
$27.95

HARD ROCK CAFE ATLANTIC CITY 2006 SEXY LIFEGUARD GIRL PIN # 34698
HARD ROCK CAFE ATLANTIC CITY 2006 SEXY LIFEGUARD GIRL PIN # 34698
$9.75

(3 PACK) FOX 40 WHISTLE  (sports, referees, lifeguards, safety)
(3 PACK) FOX 40 WHISTLE (sports, referees, lifeguards, safety)
$9.00

Vintage Mens WYLER LIFEGUARD INCAFLEX Wrist Watch ~ Stainless Steel Case 17j ETA
Vintage Mens WYLER LIFEGUARD INCAFLEX Wrist Watch ~ Stainless Steel Case 17j ETA
$0.99

6 MIB Vintage BRITAINS Unbreakable HERALD Brand LIFE GUARDS Toy SOLDIERS
6 MIB Vintage BRITAINS Unbreakable HERALD Brand LIFE GUARDS Toy SOLDIERS
$46.00

The Life Guards Pair of Shoulder Titles Nice
The Life Guards Pair of Shoulder Titles Nice
$13.41

VINTAGE BIG BIRD the LIFEGUARD SESAME STREET PBS Figure 3.5
VINTAGE BIG BIRD the LIFEGUARD SESAME STREET PBS Figure 3.5" Figurine MUPPETS
$0.50

Lego minifigure female lifeguard series 2 brand new sealed
Lego minifigure female lifeguard series 2 brand new sealed
$3.00

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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