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*Please explain/show your work on how you got the answer, thankyou. A speedy tor

ID: 1733859 • Letter: #

Question

*Please explain/show your work on how you got the answer, thankyou.

A speedy tortoise can run with a velocity of 10 cm/s and a hare canrun 20 times as fast. In a race, they both start at the same time,but the hare stops to rest for 2.0 minutes. The tortoise wins by ashell (20 cm). What was the length of the race?

Explanation / Answer

A speedy tortoisecan run with a velocity of 10 cm/s and a hare can run 20 times asfast. In a race, they both start at the same time, but the harestops to rest for 2.0 minutes. The tortoise wins by a shell (20cm). What was the length of the race? {Time Of Race} = {TimeFor Turtle To Win} = T {Length Of Race} = L =      = {Distance Turtle Ran}      = {Turtle Speed}*T      = (10)*T {Distance Hare Ran In Time T} = D =      = {Hare Speed}*(T - (120 sec))      = {(20)*(10)}*(T - 120)      = (200)*(T -120) {GIVEN} ---->    L -D = 20 ---->    (10)*T -(200)*(T -120) = 20 ---->    T = 126.21 sec ---->    {Length Of Race} = L = (10)*T ---->    {Length Of Race} = (10cm/sec)*(126.21 sec) ---->    {Length OfRace} = 1262 cm ---->    {Length OfRace} = 12.62 m .