Question

A cyclist rides her bike at a rate of 8 miles per hour. What is this rate in kilometers per hour? How many kilometers will the cyclist travel in 2 hours? In your computations, assume that 1 mile is equal to 1.6 kilometers. Do not round your answers. Rate:km/hDistance traveled in 2 hours:km

Answer 1

Given:

1 mile = 1.6 km

So, 8 miles per hour in kilometers per hour is given by:

`(1)/(8)=(1.6)/(x)`

Where x = # of kilometers

So, solve for x:

`\begin{gathered} x\cdot1=1.6\cdot8 \\ x=12.8 \end{gathered}`

This is 12.8 km per hour

Next, the distance traveled in 2 hours is:

`rate=(distance)/(time)\rightarrow distance=rate* time`

Substitute the values:

`distance=12.8*2=25.6`

Answer:

Rate: 12.8 km/h

Distance traveled in 2 hours: 25.6 km