Question

A cyclist rides her bike at a rate of 10 miles per hour. What is this rate in kilometers per hour? How many kilometers will the cyclist travel in 3 hours? in yourcomputations, assume that I mile is equal to 1.6 kilometers. Do not round your answers

Answer 1

Given that a cyclist rides her bike at a rate of 10 miles per hour.

We know that one mile =1.6 kilometers

$1\text{ mile=1.6 kilometers}$

Multiplying by 10, we get

$1\times10\text{ mile=1.6}\times10\text{ kilometers}$

$10\text{miles=16 kilometers}$

$10\text{miles per hour=16 kilometers per hour}$

Hence a cyclist rides her bike at a rate of 16 kilometers per hour.

Recall the formula for the speed

$\text{speed}=\frac{dis\tan ce}{\text{time}}$

$\text{speed}\times time=\text{Distance}$

Substitute speed =16 and time =3 , we get

$\text{16}\times3=\text{Distance}$

$\text{Distance}=48\text{ kilometers.}$

Hence 48 kilometers will the cyclist travel in 3 hours.