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A cyclist rides his bike at a rate of 11 feet per second. What is this rate in miles per hour? How many miles will the cyclist travel in 5 hours? In your computations, use the fact that 1 mile is equal to 5280 feet. Do not round your answers.

Verified Answer :

if the biker keeps a continuos rate he should go 39600 feet in an hour

JeanaShupp

Answer: Rate  = 7.5  miles per hour

The cyclist will travel 37.5 miles in 5 hours.

Step-by-step explanation:

Given : A cyclist rides his bike at a rate of 11 feet per second.

Also, 1 mile = 5280 feet.

Then, by Unitary method , \(\text{ 1 foot}=\dfrac{1}{5280}\text{ mile}\)

1 hour = 3600 seconds

Then, \(\text{ 1 second}=\dfrac{1}{3600}\text{ hour}\)

Then,

\(\text{Rate}=\text{11 feet per second}=11\times\dfrac{1}{5280}\times3600\\\\=7.5\text{ miles per hour}\)

i.e.  Distance covered in 1 hour = 7.5 miles

Then, the distance covered in 5 hours will be :\(5\times7.5=37.5\text{ miles}\)

Hence, the cyclist will travel 37.5 miles in 5 hours.

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