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*10\text{ mile=1.6}*10\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}* time=\text{Distance}`

Substitute speed =16 and time =3 , we get

`\text{16}*3=\text{Distance}`

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

Hence 48 kilometers will the cyclist travel in 3 hours.