Question

Charmaine drove 464 miles in 8 hours.At the same rate, how many miles would she drive in 13 hours?

Answer 1

Step 1: Write out the formulae

`\begin{gathered} s=(d)/(t),d=st \\ \text{where} \\ s=\text{ the speed} \\ d=\text{ the distance travelled} \\ t=\text{ the time taken } \end{gathered}`

Step 2: Compute the speed (rate)

In this case,

`\begin{gathered} d=464\text{ miles} \\ t=8\text{ hours} \end{gathered}`

Therefore,

`s=(464)/(8)=58\text{ miles per hour}`

Hence the speed (rate) is 58 miles per hour

Step 3: Compute the number of miles she would drive in 13 hours

In this case,

`\begin{gathered} t=13\text{ hours} \\ s=58\text{ miles per hour} \end{gathered}`

Therefore,

`d=58*13=754\text{ miles}`

Hence, the number of miles she would drive in 13 hours is 754