Life Guards

Vintage Lifeboat Life Raft Rations US Coast Guard Chocolate Malted Milk Unopened
Vintage Lifeboat Life Raft Rations US Coast Guard Chocolate Malted Milk Unopened
$48.89

Lifeguard Whistle w/Lanyard
Lifeguard Whistle w/Lanyard
$3.95

disney vinylmation cutesters at the beach life guard
disney vinylmation cutesters at the beach life guard
$3.29

Britains No. 43 - 2nd Life Guards Cavalry, x1 Bugler, c1896
Britains No. 43 - 2nd Life Guards Cavalry, x1 Bugler, c1896
$34.51

Kyser Lifeguard Humidifier System For Acoustic Guitars
Kyser Lifeguard Humidifier System For Acoustic Guitars
$13.49

The Lifeguard DVD
The Lifeguard DVD
$0.99

THE LIFEGUARD - KRISTEN BELL  2013 EROTIC HUMAN DRAMA DVD WS
THE LIFEGUARD - KRISTEN BELL 2013 EROTIC HUMAN DRAMA DVD WS
$0.99

NBC BAYWATCH BAY WATCH LA LIFEGUARD SWIM SUIT 4
NBC BAYWATCH BAY WATCH LA LIFEGUARD SWIM SUIT 4" PATCH
$7.95

SPEEDO Xtralife Lycra LIFEGUARD bikini swimwear Mens Womens M medium NEW nwt
SPEEDO Xtralife Lycra LIFEGUARD bikini swimwear Mens Womens M medium NEW nwt
$9.99

LEGO Series 2 - LifeGuard Factory Sealed Minifigure - Mini figure 8 Baywatch CMF
LEGO Series 2 - LifeGuard Factory Sealed Minifigure - Mini figure 8 Baywatch CMF
$3.85

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

nice old to save and to serve boy scout brigade life guards salvation army badge
nice old to save and to serve boy scout brigade life guards salvation army badge
$5.13

CHINA GLAZE SPIN ME ROUND 4-pc Nail Polish Set~Snow Lifeguard Sun Turquoise *NIB
CHINA GLAZE SPIN ME ROUND 4-pc Nail Polish Set~Snow Lifeguard Sun Turquoise *NIB
$14.96

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

Vtg Fisher Price Little People SWIMMING POOL Life Preserver Vest Lifeguard Chair
Vtg Fisher Price Little People SWIMMING POOL Life Preserver Vest Lifeguard Chair
$5.99

1942 Press Photo US Coast Guard at the Virginia Beach Life Saving Station
1942 Press Photo US Coast Guard at the Virginia Beach Life Saving Station
$10.49

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

Sexy Lifeguard - Vintage 1986 80's Poster - Man Cave Hot Girl
Sexy Lifeguard - Vintage 1986 80's Poster - Man Cave Hot Girl
$9.99

 Britains / Herald # 7809 Horse and Life Guards
Britains / Herald # 7809 Horse and Life Guards
$69.00

Westminster Miniatures
Westminster Miniatures "British Lifeguards" 54mm Metal Toy Soldier Set of 8.
$38.99

SCARCE WW1 FIRST LIFE GUARDS CAP BADGE WITH SLIDER. BRITISH MILITARY.
SCARCE WW1 FIRST LIFE GUARDS CAP BADGE WITH SLIDER. BRITISH MILITARY.
$17.65

Life Guard Responder Encapsulated Level B Chemical Protection Suit
Life Guard Responder Encapsulated Level B Chemical Protection Suit
$49.99

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

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

Debra Raymond 100mm - British Napoleonic, Trooper, 1st Lifeguards
Debra Raymond 100mm - British Napoleonic, Trooper, 1st Lifeguards
$49.95

*RARE WW2 U.S. COAST GUARD LIFE BOAT & LIFE RAFT DRINKING WATER*
*RARE WW2 U.S. COAST GUARD LIFE BOAT & LIFE RAFT DRINKING WATER*
$3.34

Kyser Lifeguard Humidifier for Acoustic Guitars NEW
Kyser Lifeguard Humidifier for Acoustic Guitars NEW
$16.29

Ellis and Associates Instructor Rashguard Aquatic Lifeguard, Size: Medium
Ellis and Associates Instructor Rashguard Aquatic Lifeguard, Size: Medium
$0.99

Womens Small New Victoria Secret PINK full zip Hoodie jacket Navy Lifeguard
Womens Small New Victoria Secret PINK full zip Hoodie jacket Navy Lifeguard
$7.99

LEGO #71007 Minifigure Series 12  LIFEGUARD GUY
LEGO #71007 Minifigure Series 12 LIFEGUARD GUY
$5.99

Stearns I222 Work Master Life Vest ORANGE Coast Guard Approved
Stearns I222 Work Master Life Vest ORANGE Coast Guard Approved
$9.99

Jolyn Lifeguard Swimwear bikini top large
Jolyn Lifeguard Swimwear bikini top large
$24.50

**BAYWATCH LIFEGUARD BARBIE with DOLPHIN** Original Box 1994
**BAYWATCH LIFEGUARD BARBIE with DOLPHIN** Original Box 1994
$9.50

lee South Beach unisex meidum lifeguard red hoodie
lee South Beach unisex meidum lifeguard red hoodie
$0.99

3 Estate Vintage Antique Muslin Grain Feed Sacks Life Guard Alpha OH Royal River
3 Estate Vintage Antique Muslin Grain Feed Sacks Life Guard Alpha OH Royal River
$9.00

LIFE GARD II, Ghostbusters 2 Movie Prop, Yellow Guard 2 Firefighter Pass Alarm
LIFE GARD II, Ghostbusters 2 Movie Prop, Yellow Guard 2 Firefighter Pass Alarm
$50.00

# 1 COLOR 35 MM SLIDE SWIMSUIT BULGE SPEEDO  LIFEGUARD MUSCLE BEACH BOY MEN GAY
# 1 COLOR 35 MM SLIDE SWIMSUIT BULGE SPEEDO LIFEGUARD MUSCLE BEACH BOY MEN GAY
$18.95

# 2 COLOR 35 MM SLIDE SWIMSUIT BULGE SPEEDO  LIFEGUARD MUSCLE BEACH BOY MEN GAY
# 2 COLOR 35 MM SLIDE SWIMSUIT BULGE SPEEDO LIFEGUARD MUSCLE BEACH BOY MEN GAY
$18.95

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
$7.93

# 3 COLOR 35 MM SLIDE SWIMSUIT BULGE SPEEDO  LIFEGUARD MUSCLE BEACH BOY MEN GAY
# 3 COLOR 35 MM SLIDE SWIMSUIT BULGE SPEEDO LIFEGUARD MUSCLE BEACH BOY MEN GAY
$18.95

# 4 COLOR 35 MM SLIDE SWIMSUIT BULGE SPEEDO  LIFEGUARD MUSCLE BEACH BOY MEN GAY
# 4 COLOR 35 MM SLIDE SWIMSUIT BULGE SPEEDO LIFEGUARD MUSCLE BEACH BOY MEN GAY
$18.95

Fox 40 Classic Whistle With Lanyard! Sports Official! Coach! Safety! Lifeguard!
Fox 40 Classic Whistle With Lanyard! Sports Official! Coach! Safety! Lifeguard!
$2.80

# 5 COLOR 35 MM SLIDE SWIMSUIT BULGE SPEEDO  LIFEGUARD MUSCLE BEACH BOY MEN GAY
# 5 COLOR 35 MM SLIDE SWIMSUIT BULGE SPEEDO LIFEGUARD MUSCLE BEACH BOY MEN GAY
$18.95

# 6 COLOR 35 MM SLIDE SWIMSUIT BULGE SPEEDO  LIFEGUARD MUSCLE BEACH BOY MEN GAY
# 6 COLOR 35 MM SLIDE SWIMSUIT BULGE SPEEDO LIFEGUARD MUSCLE BEACH BOY MEN GAY
$18.95

Miniature Fairy Garden Seaside Lifeguard Decor
Miniature Fairy Garden Seaside Lifeguard Decor
$9.99

# 7 COLOR 35 MM SLIDE SWIMSUIT BULGE SPEEDO  LIFEGUARD MUSCLE BEACH BOY MEN GAY
# 7 COLOR 35 MM SLIDE SWIMSUIT BULGE SPEEDO LIFEGUARD MUSCLE BEACH BOY MEN GAY
$18.95

# 8 COLOR 35 MM SLIDE SWIMSUIT BULGE SPEEDO  LIFEGUARD MUSCLE BEACH BOY MEN GAY
# 8 COLOR 35 MM SLIDE SWIMSUIT BULGE SPEEDO LIFEGUARD MUSCLE BEACH BOY MEN GAY
$18.95

Lifeguard (DVD, 2013)
Lifeguard (DVD, 2013)
$13.77

# 9 COLOR 35 MM SLIDE SWIMSUIT BULGE SPEEDO  LIFEGUARD MUSCLE BEACH BOY MEN GAY
# 9 COLOR 35 MM SLIDE SWIMSUIT BULGE SPEEDO LIFEGUARD MUSCLE BEACH BOY MEN GAY
$18.95

#10 COLOR 35 MM SLIDE SWIMSUIT BULGE SPEEDO  LIFEGUARD MUSCLE BEACH BOY MEN GAY
#10 COLOR 35 MM SLIDE SWIMSUIT BULGE SPEEDO LIFEGUARD MUSCLE BEACH BOY MEN GAY
$18.95

#11 COLOR 35 MM SLIDE SWIMSUIT BULGE SPEEDO  LIFEGUARD MUSCLE BEACH BOY MEN GAY
#11 COLOR 35 MM SLIDE SWIMSUIT BULGE SPEEDO LIFEGUARD MUSCLE BEACH BOY MEN GAY
$18.95

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

#12 COLOR 35 MM SLIDE SWIMSUIT BULGE SPEEDO  LIFEGUARD MUSCLE BEACH BOY MEN GAY
#12 COLOR 35 MM SLIDE SWIMSUIT BULGE SPEEDO LIFEGUARD MUSCLE BEACH BOY MEN GAY
$18.95

#13 COLOR 35 MM SLIDE SWIMSUIT BULGE SPEEDO  LIFEGUARD MUSCLE BEACH BOY MEN GAY
#13 COLOR 35 MM SLIDE SWIMSUIT BULGE SPEEDO LIFEGUARD MUSCLE BEACH BOY MEN GAY
$18.95

TV Series Life Guard Fancy Dress Up Lifegurad Costumes Beach Baywatch Costume
TV Series Life Guard Fancy Dress Up Lifegurad Costumes Beach Baywatch Costume
$16.99

#14 COLOR 35 MM SLIDE SWIMSUIT BULGE SPEEDO  LIFEGUARD MUSCLE BEACH BOY MEN GAY
#14 COLOR 35 MM SLIDE SWIMSUIT BULGE SPEEDO LIFEGUARD MUSCLE BEACH BOY MEN GAY
$18.95

#15 COLOR 35 MM SLIDE SWIMSUIT BULGE SPEEDO  LIFEGUARD MUSCLE BEACH BOY MEN GAY
#15 COLOR 35 MM SLIDE SWIMSUIT BULGE SPEEDO LIFEGUARD MUSCLE BEACH BOY MEN GAY
$18.95

Tin 54 mm Russian soldiers of the Life Guards attack. Napoleonic.
Tin 54 mm Russian soldiers of the Life Guards attack. Napoleonic.
$12.99

#16 COLOR 35 MM SLIDE SWIMSUIT BULGE SPEEDO  LIFEGUARD MUSCLE BEACH BOY MEN GAY
#16 COLOR 35 MM SLIDE SWIMSUIT BULGE SPEEDO LIFEGUARD MUSCLE BEACH BOY MEN GAY
$18.95

#17 COLOR 35 MM SLIDE SWIMSUIT BULGE SPEEDO  LIFEGUARD MUSCLE BEACH BOY MEN GAY
#17 COLOR 35 MM SLIDE SWIMSUIT BULGE SPEEDO LIFEGUARD MUSCLE BEACH BOY MEN GAY
$18.95

Printed men's Lifeguard beach Mens t-shirt safety Pool Staff TANK TOP RED WHITE
Printed men's Lifeguard beach Mens t-shirt safety Pool Staff TANK TOP RED WHITE
$11.35

#18 COLOR 35 MM SLIDE SWIMSUIT BULGE SPEEDO  LIFEGUARD MUSCLE BEACH BOY MEN GAY
#18 COLOR 35 MM SLIDE SWIMSUIT BULGE SPEEDO LIFEGUARD MUSCLE BEACH BOY MEN GAY
$18.95

#19 COLOR 35 MM SLIDE SWIMSUIT BULGE SPEEDO  LIFEGUARD MUSCLE BEACH BOY MEN GAY
#19 COLOR 35 MM SLIDE SWIMSUIT BULGE SPEEDO LIFEGUARD MUSCLE BEACH BOY MEN GAY
$18.95

SERIES 77   BRITISH CALVARY OFFICER LIFE GUARDS   77MM METAL  KIT
SERIES 77 BRITISH CALVARY OFFICER LIFE GUARDS 77MM METAL KIT
$19.95

#20 COLOR 35 MM SLIDE SWIMSUIT BULGE SPEEDO  LIFEGUARD MUSCLE BEACH BOY MEN GAY
#20 COLOR 35 MM SLIDE SWIMSUIT BULGE SPEEDO LIFEGUARD MUSCLE BEACH BOY MEN GAY
$18.95

American Red Cross Lifeguard Patches
American Red Cross Lifeguard Patches
$10.98

Lifeguard Straw Hat-L/XL #388
Lifeguard Straw Hat-L/XL #388
$9.99

Florida Lifeguard Patches
Florida Lifeguard Patches
$20.00

Military Base Lifeguard Patches
Military Base Lifeguard Patches
$9.50

LEGO Minifigure Series 12 - Lifeguard 71007
LEGO Minifigure Series 12 - Lifeguard 71007
$7.99

The Lifeguard DVD
The Lifeguard DVD
$0.99

VINTAGE BRITAINS LEAD TOY SOLDIER BRITISH LIFEGUARD
VINTAGE BRITAINS LEAD TOY SOLDIER BRITISH LIFEGUARD
$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
$29.99

VINTAGE BRITAINS LEAD TOY SOLDIER BRITISH LIFEGUARD
VINTAGE BRITAINS LEAD TOY SOLDIER BRITISH LIFEGUARD
$0.99

Lego Minifigure Series 12 Life Guard
Lego Minifigure Series 12 Life Guard
$0.99

abercrombie XL Lifeguard Pants
abercrombie XL Lifeguard Pants
$5.95

RUSSIAN IMPERIAL BADGE OF THE LITHUANIAN LIFE GUARDS REGIMENT
RUSSIAN IMPERIAL BADGE OF THE LITHUANIAN LIFE GUARDS REGIMENT
$69.00

CA 1890 TWO SWIMMERS LIFE GUARDS/SWIM TEAM UNIFORM MONOGRAMS TIN TYPE NICE COND.
CA 1890 TWO SWIMMERS LIFE GUARDS/SWIM TEAM UNIFORM MONOGRAMS TIN TYPE NICE COND.
$15.00

SWIMMER BOY GRABS Sexy SHIRTLESS LIFEGUARD MAN! vtg 50's SWIMSUIT PHOTO gay int
SWIMMER BOY GRABS Sexy SHIRTLESS LIFEGUARD MAN! vtg 50's SWIMSUIT PHOTO gay int
$9.99

New Women's Lifeguard beach safety Pool Staff Sexy Cotton TANK TOP RED WHITE
New Women's Lifeguard beach safety Pool Staff Sexy Cotton TANK TOP RED WHITE
$14.11

SERIES 12 LEGO MINI FIGURES LIFE GUARD AND MAN IN PIG COSTUME
SERIES 12 LEGO MINI FIGURES LIFE GUARD AND MAN IN PIG COSTUME
$6.00

LEGO Minifigures Series 12 Lot Swashbuckler Rock Star Lifeguard w/ Codes 71007
LEGO Minifigures Series 12 Lot Swashbuckler Rock Star Lifeguard w/ Codes 71007
$4.03

Beach Patrol Lifeguard Water Rescue Costume Adult Baywatch Red Swimsuit 9610
Beach Patrol Lifeguard Water Rescue Costume Adult Baywatch Red Swimsuit 9610
$46.74

UNUSUAL 1960 Wyler 17J LIFEGUARD Fancy Guilloche Dial 3325/2M-1200 IN THE BOX!!
UNUSUAL 1960 Wyler 17J LIFEGUARD Fancy Guilloche Dial 3325/2M-1200 IN THE BOX!!
$75.00

Women's Speedo 2-pc Lifeguard Bathing Suits Set of 2 Red
Women's Speedo 2-pc Lifeguard Bathing Suits Set of 2 Red
$6.50

WILLIAM BRITAINS 8012 LIFE GUARD
WILLIAM BRITAINS 8012 LIFE GUARD
$9.95

California Junior Lifeguard New Patch 3x3
California Junior Lifeguard New Patch 3x3
$2.99

Pokemon Ace Spec Lot G Scope Booster Master Ball Life Dew Rock Guard Cyclone
Pokemon Ace Spec Lot G Scope Booster Master Ball Life Dew Rock Guard Cyclone
$5.75

LEGO Friends Emma's Lifeguard Post (41028) NEW, Free Shipping
LEGO Friends Emma's Lifeguard Post (41028) NEW, Free Shipping
$11.83

1994 Mattel Baywatch TV Show Barbie Lifeguard Doll Set New in Box/ Never removed
1994 Mattel Baywatch TV Show Barbie Lifeguard Doll Set New in Box/ Never removed
$3.50

VINT FUNNY ARCADE PHOTO BLACK MAN & WOMAN  LIFE GUARD & MERMAID
VINT FUNNY ARCADE PHOTO BLACK MAN & WOMAN LIFE GUARD & MERMAID
$9.95

Brand New DS Farmers Market Hawaii Baewatch Lifeguard Snapback Cap
Brand New DS Farmers Market Hawaii Baewatch Lifeguard Snapback Cap
$165.00

New York/New Jersey Lifeguard patch set
New York/New Jersey Lifeguard patch set
$12.99

LIFEGUARD MAUI HOODIE SIZE SMALL, RED/LONG SLEEVE       FREE SHIPPING
LIFEGUARD MAUI HOODIE SIZE SMALL, RED/LONG SLEEVE FREE SHIPPING
$5.99

No Lifeguard on Duty: The Accidental Life of the World's First Supermodel
No Lifeguard on Duty: The Accidental Life of the World's First Supermodel
$4.18

Pamela Anderson Baywatch doll C J Parker lifeguard sealed Playbo
Pamela Anderson Baywatch doll C J Parker lifeguard sealed Playbo
$15.00

US Coast Guard & US Revenue Cutter Service & US Life Saving Service Anniversary
US Coast Guard & US Revenue Cutter Service & US Life Saving Service Anniversary
$4.99

Type II Orange Life Jacket Vest PFD - Adult Universal - Coast Guard Approved
Type II Orange Life Jacket Vest PFD - Adult Universal - Coast Guard Approved
$10.95

BRITAINS
BRITAINS "THE LIFE GUARDS " No.1 (1930s) 5 PIECE SET ***** MINT/OB
$50.00

NWT MEN'S H&M LIFEGUARD HOODIE SWEATSHIRT, GRAY, SIZE XL, 100% COTTON
NWT MEN'S H&M LIFEGUARD HOODIE SWEATSHIRT, GRAY, SIZE XL, 100% COTTON
$5.99

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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