Life Guards

Hot Wheels Set of 3 Diff Rockster's Loose Vehicles Incl. Lifeguard Rockster!
Hot Wheels Set of 3 Diff Rockster's Loose Vehicles Incl. Lifeguard Rockster!
$0.99

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

40
40" Kiefer lifeguard rescue tube with plastic clip
$20.00

FOUR RUSS LIFEGUARD TROLL DOLLS WITH DIFFERENT COLLORED HAIR NEW IN PACKAGE
FOUR RUSS LIFEGUARD TROLL DOLLS WITH DIFFERENT COLLORED HAIR NEW IN PACKAGE
$9.99

Lifeguard DVD Region ALL
Lifeguard DVD Region ALL
$17.52

1968 Tonka LifeGuard Jeep Near Mint The best on Ebay .99 CENTS To START
1968 Tonka LifeGuard Jeep Near Mint The best on Ebay .99 CENTS To START
$162.50

SWIM AT YOUR OWN RISK LIFEGUARD ON BEER BREAK Pool Beach Life Guard Sign NEW
SWIM AT YOUR OWN RISK LIFEGUARD ON BEER BREAK Pool Beach Life Guard Sign NEW
$9.95

NEW Orange Black Spider Strap Spine Board Rescue EMS Spineboard Lifeguard
NEW Orange Black Spider Strap Spine Board Rescue EMS Spineboard Lifeguard
$27.50

MIKE FRENCH MODELSS TINY TROOPERS HOUSEHOLD CAVALRY-LIFE GUARDS N.C.O.  HCLG
MIKE FRENCH MODELSS TINY TROOPERS HOUSEHOLD CAVALRY-LIFE GUARDS N.C.O. HCLG
$28.28

Hollister California Medium Lounge Comfy Sweat Shorts Life Guard Chair Palm Tree
Hollister California Medium Lounge Comfy Sweat Shorts Life Guard Chair Palm Tree
$5.00

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

Vintage Wyler Men's Watch Lifeguard Incaflex Dynawind Working Green 1980/8D-1162
Vintage Wyler Men's Watch Lifeguard Incaflex Dynawind Working Green 1980/8D-1162
$19.99

Lifeguard Beach Towel Red Color 30 x 60
Lifeguard Beach Towel Red Color 30 x 60
$10.50

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

Lifeguard Beach Towel White Color 30 x 60
Lifeguard Beach Towel White Color 30 x 60
$11.50

TYR Red Blue REVERSIBLE LIFE GUARD Racerback Bikini Swim Top Sports Bra~SZ L-XL
TYR Red Blue REVERSIBLE LIFE GUARD Racerback Bikini Swim Top Sports Bra~SZ L-XL
$6.99

Coles Swap Card - Life Guards
Coles Swap Card - Life Guards
$3.52

Lifeguard Port Authority Visor - Tan
Lifeguard Port Authority Visor - Tan
$2.00

NWT MENS VINEYARD VINES LOGO BOX GRAPHIC T SHIRT  LIFEGUARD RED L
NWT MENS VINEYARD VINES LOGO BOX GRAPHIC T SHIRT LIFEGUARD RED L
$31.99

Swimline 89870 18
Swimline 89870 18" Lifeguard Life Preserver Swimming Pool Foam Safety Ring Buoy
$34.99

Womens Juniors Sz M Yellow Hollister Top Shirt T-shirt lifeguard station pictur
Womens Juniors Sz M Yellow Hollister Top Shirt T-shirt lifeguard station pictur
$2.00

Dolfin Red Lifeguard Two Piece Swimsuit Size 32 NEW
Dolfin Red Lifeguard Two Piece Swimsuit Size 32 NEW
$14.99

German WWII DLRG * German Lifeguard Association * Bronce Brooch Badge
German WWII DLRG * German Lifeguard Association * Bronce Brooch Badge
$14.90

NWT Vineyard Vines Men's Large Logo Box T-shirt Lifeguard Red
NWT Vineyard Vines Men's Large Logo Box T-shirt Lifeguard Red
$29.49

Love Pink Lifeguard Victoria's Secret Beach Swim Shorts MEDIUM Navy
Love Pink Lifeguard Victoria's Secret Beach Swim Shorts MEDIUM Navy
$8.00

Speedo Lifeguard Red Bikini NWT Medium Top With Large Bottoms
Speedo Lifeguard Red Bikini NWT Medium Top With Large Bottoms
$10.49

O'Neill Sonoma Natural Straw Lifeguard Hat
O'Neill Sonoma Natural Straw Lifeguard Hat
$19.50

Life Guard women's sports gloves hiking cycle LM34-1106W
Life Guard women's sports gloves hiking cycle LM34-1106W
$1.25

Life Guard women's sports gloves hiking cycle LM34-1108W
Life Guard women's sports gloves hiking cycle LM34-1108W
$2.25

Toy Soldiers Mounted Lifeguards Cavalry Britains Limited Edition
Toy Soldiers Mounted Lifeguards Cavalry Britains Limited Edition
$55.00

Britains 00157 Band Of The Life Guards (5pcs)
Britains 00157 Band Of The Life Guards (5pcs)
$40.00

LEGO Friends Emma's Lifeguard Post (41028)
LEGO Friends Emma's Lifeguard Post (41028)
$0.99

Ghostbusters 2 Prop Lifeguard II Pass Alarm belt goes g/w proton pack life guard
Ghostbusters 2 Prop Lifeguard II Pass Alarm belt goes g/w proton pack life guard
$45.00

NEW CUSTOM BRAND 8684 Minifigures Series 2  Lifeguard
NEW CUSTOM BRAND 8684 Minifigures Series 2 Lifeguard
$0.99

Vintage Boxed Metal Soldiers Mounted Life Guard Lancers & Officer Like Britains
Vintage Boxed Metal Soldiers Mounted Life Guard Lancers & Officer Like Britains
$16.28

BURT'S BEES LIFEGUARD'S CHOICE LIP BALM WATERPROOF FOR SUN & SNOW NEW SEALED
BURT'S BEES LIFEGUARD'S CHOICE LIP BALM WATERPROOF FOR SUN & SNOW NEW SEALED
$29.00

Harwich Cape Cod White Lifeguard Sweatshirt - Size XL
Harwich Cape Cod White Lifeguard Sweatshirt - Size XL
$39.99

WOMEN NIKE SWIMSUIT 1 PIECE BLACK SIZE 6 COMPETITION RACING LIFE GUARD LOW BACK
WOMEN NIKE SWIMSUIT 1 PIECE BLACK SIZE 6 COMPETITION RACING LIFE GUARD LOW BACK
$19.99

L XL  REYN SPOONER REVERSE PRINT PULL-OVER HAWAIIAN SHIRT LIFEGUARDS SURFBOARDS
L XL REYN SPOONER REVERSE PRINT PULL-OVER HAWAIIAN SHIRT LIFEGUARDS SURFBOARDS
$27.95

Lego Series 12 Lifeguard Minifigure FREE SHIPPING
Lego Series 12 Lifeguard Minifigure FREE SHIPPING
$4.99

Sexy SPEEDO NEW Lifeguard Womens 12 Swim Top Tankini Red Print Bikini Sale CHOP
Sexy SPEEDO NEW Lifeguard Womens 12 Swim Top Tankini Red Print Bikini Sale CHOP
$4.99

Lifeguard Hat - Bucket (Red)
Lifeguard Hat - Bucket (Red)
$14.95

LEGO Minifigure Series 2 - Lifeguard
LEGO Minifigure Series 2 - Lifeguard
$0.99

New! Playmobil 3664 - Beach with Lifeguard, JetSki and Surf Board - RARE!
New! Playmobil 3664 - Beach with Lifeguard, JetSki and Surf Board - RARE!
$49.99

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

**1- DEWEY BEACH, DE - DEWEY BEACH LIFEGUARDS_STATION
**1- DEWEY BEACH, DE - DEWEY BEACH LIFEGUARDS_STATION
$1.19

vtg JAMS WORLD Hawaiian Shirt Santa Monica Lifeguards 1946-60 Mens L
vtg JAMS WORLD Hawaiian Shirt Santa Monica Lifeguards 1946-60 Mens L
$14.99

EMS SPINEBOARD LIFE GUARD FIRE RESCUE BACKBOARD PRO-LITE
EMS SPINEBOARD LIFE GUARD FIRE RESCUE BACKBOARD PRO-LITE
$69.99

Lifeguard Jacket Ocean Rescue
Lifeguard Jacket Ocean Rescue
$80.00

Womens LIFEGUARD one piece athletic swimsuit swim sz  L Lg bathing suit
Womens LIFEGUARD one piece athletic swimsuit swim sz L Lg bathing suit
$7.99

Lifeguard by James Patterson and Andrew Gross (2007, CD, Unabridged)
Lifeguard by James Patterson and Andrew Gross (2007, CD, Unabridged)
$1.99

The Lifeguard (DVD, 2013)
The Lifeguard (DVD, 2013)
$6.40

Swiss Peter Lifeguard T Shirt XL
Swiss Peter Lifeguard T Shirt XL
$0.01

Lifeguard by James Patterson and Andrew Gross (2005, Hardcover)
Lifeguard by James Patterson and Andrew Gross (2005, Hardcover)
$1.00

WHITE LIFEGUARD T-SHIRT Small, Medium, Large, XL staff
WHITE LIFEGUARD T-SHIRT Small, Medium, Large, XL staff
$7.99

NIB BARBIE DOLL 1989 PLAYSET WET N WILD LIFEGUARD STAND
NIB BARBIE DOLL 1989 PLAYSET WET N WILD LIFEGUARD STAND
$5.95

Ballona Creek Life Guard Station TWILIGHT ➨ OCEAN FRAME SURF PLEIN AIR Antonyuk
Ballona Creek Life Guard Station TWILIGHT ➨ OCEAN FRAME SURF PLEIN AIR Antonyuk
$75.00

LIFEGUARD HOODIE HOODY Jacket SWEATSHIRT LIFE GUARD SHIRT Red Arched front
LIFEGUARD HOODIE HOODY Jacket SWEATSHIRT LIFE GUARD SHIRT Red Arched front
$19.95

Sexy SPEEDO NEW Lifeguard Womens 10 Swim Top Classic Red Solid Bikini Sale CHOP
Sexy SPEEDO NEW Lifeguard Womens 10 Swim Top Classic Red Solid Bikini Sale CHOP
$4.99

SALVATORE FERRAGAMO TIE SILK DESIGNER DUCK LIFEGUARD PATTERN BLUE NECKTIE ITALY
SALVATORE FERRAGAMO TIE SILK DESIGNER DUCK LIFEGUARD PATTERN BLUE NECKTIE ITALY
$29.99

Official LIFEGUARD Ladies Red Printed Mesh Shorts polyester comfortable fit
Official LIFEGUARD Ladies Red Printed Mesh Shorts polyester comfortable fit
$8.99

LOVE PINK Victoria's Secret 86 LIFEGUARD Cropped Pants S Small
LOVE PINK Victoria's Secret 86 LIFEGUARD Cropped Pants S Small
$15.99

BELIEVED ORIGINAL WW1: LIFE GUARDS (1ST AND 2ND)  Cap badge
BELIEVED ORIGINAL WW1: LIFE GUARDS (1ST AND 2ND) Cap badge
$15.50

LifeGuard EPDM Pond Liner 10 x 15 45 mil Backyard Waterfall Liner 25 Yr Warranty
LifeGuard EPDM Pond Liner 10 x 15 45 mil Backyard Waterfall Liner 25 Yr Warranty
$128.34

Two metal British Life Guards.
Two metal British Life Guards.
$5.00

BRITAINS Very Early Pre War Life Guard from Set #1 - Circa 1902 - Lead Soldiers
BRITAINS Very Early Pre War Life Guard from Set #1 - Circa 1902 - Lead Soldiers
$24.00

Lifeguard Fanny Pack New
Lifeguard Fanny Pack New
$8.77

TOY CAR MAJORETTE CHEVROLET SILVERADO LIFE GUARD DIECAST MODEL 1/71 COLLECTIBLE
TOY CAR MAJORETTE CHEVROLET SILVERADO LIFE GUARD DIECAST MODEL 1/71 COLLECTIBLE
$8.99

CPR / LIFEGUARD CHILD MANIKIN
CPR / LIFEGUARD CHILD MANIKIN
$81.00

ZF LIFEGUARD 5 Auto Transmission Fluid For BMW BENZ JAG Replaces ESSO LT71141
ZF LIFEGUARD 5 Auto Transmission Fluid For BMW BENZ JAG Replaces ESSO LT71141
$16.95

1929 Danish King Celebrates 40 Years in Lifeguard Regiment Original News Photo
1929 Danish King Celebrates 40 Years in Lifeguard Regiment Original News Photo
$19.99

Ghostbusters 2 Prop Utility Belt Gizmo,Leg hose,Fobs,lifeguard II g/ Proton Pack
Ghostbusters 2 Prop Utility Belt Gizmo,Leg hose,Fobs,lifeguard II g/ Proton Pack
$350.00

NIB POLLY SPLASHIN' FASHION LIFEGUARD TOWER WITH LEA
NIB POLLY SPLASHIN' FASHION LIFEGUARD TOWER WITH LEA
$16.99

The Lifeguard (DVD, 2013) Like New Movies for a Penny! FREE SHIPPING!
The Lifeguard (DVD, 2013) Like New Movies for a Penny! FREE SHIPPING!
$3.00

NEW Dora the Explorer - Lifeguard - DressUp Adventure
NEW Dora the Explorer - Lifeguard - DressUp Adventure
$14.99

100 Weedlees Sproat Hooks Size 4 Metal Weed Guard - walleye Harrness - live bait
100 Weedlees Sproat Hooks Size 4 Metal Weed Guard - walleye Harrness - live bait
$5.50

Lifeguard Board Shorts
Lifeguard Board Shorts
$15.00

100 Weedlees Sproat Hooks Size 2 Metal Weed Guard rigged worms live bait
100 Weedlees Sproat Hooks Size 2 Metal Weed Guard rigged worms live bait
$3.99

2 Vintage Stearns Universal Lifeguard Red Preservers - Large
2 Vintage Stearns Universal Lifeguard Red Preservers - Large
$15.00

LIFEGUARD - NEW DVD
LIFEGUARD - NEW DVD
$14.54

n 224 militay series-kinney tobacco- capt. 2d life guards (red) england-graded
n 224 militay series-kinney tobacco- capt. 2d life guards (red) england-graded
$15.00

Goodyear Tire Lifeguards Safety Medal
Goodyear Tire Lifeguards Safety Medal
$4.99

Official LIFEGUARD Women's One-Piece Lycra Swimsuit Red
Official LIFEGUARD Women's One-Piece Lycra Swimsuit Red
$18.89

BIG JIM ACTION FIGURE DRESSED AS LIFE GUARD WITH UNOPENED ADVENTURE GEAR
BIG JIM ACTION FIGURE DRESSED AS LIFE GUARD WITH UNOPENED ADVENTURE GEAR
$45.00

lifeguard shorts swimsuit  baywatch miami
lifeguard shorts swimsuit baywatch miami
$9.99

WOMAN'S
WOMAN'S "SPEEDO" 2 PIECE TANKINI SWIM SUIT - SIZE 10 - "LIFE GUARD" -GREAT SHAPE
$10.95

T shirt lifeguard Miami baywatch type
T shirt lifeguard Miami baywatch type
$9.99

Lifeguard Rash guard Hawaii Bay watch Style
Lifeguard Rash guard Hawaii Bay watch Style
$29.99

Lifeguard Swimsuit (Red) 1 Piece
Lifeguard Swimsuit (Red) 1 Piece
$19.95

Authentic LA city Lifeguard Shorts baywatch Style
Authentic LA city Lifeguard Shorts baywatch Style
$9.99

Lifeguard Maui Patch Hawaii Baywatch
Lifeguard Maui Patch Hawaii Baywatch
$5.95

Gulbenkian Womens Lifeguard Swimsuit Solid Red Flyback Size 34
Gulbenkian Womens Lifeguard Swimsuit Solid Red Flyback Size 34
$16.19

Lifeguard Authentic patch Newport Beach California Baywatch
Lifeguard Authentic patch Newport Beach California Baywatch
$5.95

Lifeguard Patch California San Diego Baywatch
Lifeguard Patch California San Diego Baywatch
$5.95

B.S.A. Scout Life Guard Patch
B.S.A. Scout Life Guard Patch
$3.00

Disney PARADISE PIER Hotel Reosrt MICKEY MOUSE Resin Beach Lifeguard Table Lamp
Disney PARADISE PIER Hotel Reosrt MICKEY MOUSE Resin Beach Lifeguard Table Lamp
$127.50

RCA logo 6' tape measure with Stanley Life Guard tape
RCA logo 6' tape measure with Stanley Life Guard tape
$4.50

OEM ZF Lifeguard 6  Automatic Transmission Fluid    S671090255
OEM ZF Lifeguard 6 Automatic Transmission Fluid S671090255
$25.40

12th scale Airfix 02506-9 British Lifeguard Trumpeter Figure Model Kit OOOnce
12th scale Airfix 02506-9 British Lifeguard Trumpeter Figure Model Kit OOOnce
$9.99

1/35 scale Cavalier Roundhead, Life Guard, Polish Lancer 1815 Model Kits OOOnce
1/35 scale Cavalier Roundhead, Life Guard, Polish Lancer 1815 Model Kits OOOnce
$9.99

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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