Question

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.

Answer 1

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

Answer 2

Answer: Rate = 7.5 miles per hour

The cyclist will travel 37.5 miles in 5 hours.

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}=(1)/(5280)\text{ mile}`

1 hour = 3600 seconds

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

Then,

`\text{Rate}=\text{11 feet per second}=11*(1)/(5280)*3600\\\\=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*7.5=37.5\text{ miles}`

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