Question

Justin's bicycle has 24-inch diameter wheels. Justin pedals his bicycle enough for the

wheels to complete exactly 40 revolutions. To the nearest whole number, how far does

Justin travel?

Answer 1

Total distance covered by bicycle's wheel in
`40` revolutions is
`40* 75.36=3014.4` ≈
`3014 inches`

Explanation:

Diagram of given scenario shown below.

Given That:

Diameter of bicycle Wheel is
`24 inches`.

So, Radius of wheel
`(r)=(Diameter)/(2) = (24)/(2) = 12\ inches`

Wheel has a circular shape.

In order to find the Distance covered in
`40` revolutions we have to find the circumference of the wheel.

Circumference of circle
`=2\pi r`

Thus, Circumference of wheel
`=2\pi *12= 24* \ 3.14` { ∵
`\pi =(22)/(7)`≈
`3.14`}

`=75.36\ inches`

Therefore,

Total distance covered by bicycle's wheel in
`40` revolutions is
`40* 75.36=3014.4` ≈
`3014 inches`