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

$\begin{gathered} s=\frac{d}{t},d=st \\ \text{where} \\ s=\text{ the speed} \\ d=\text{ the distance travelled} \\ t=\text{ the time taken } \end{gathered}$

Step 2: Compute the speed (rate)

In this case,

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

Therefore,

$s=\frac{464}{8}=58\text{ miles per hour}$

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,

$d=58\times13=754\text{ miles}$

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