Question

A bus traveled on a level road for 6 hours at an average speed of 20 miles per hour faster than it traveled on a winding road. The time spent on the winding road was 2 hour find the average speed on the level road if the entire trip was 360 miles.

Answer 1

Given:

A bus traveled on a level road for 6 hours at an average speed of 20 miles per hour .

The distance is calculated as,

$\begin{gathered} d_1=r\times t \\ d_1=6\times20 \\ d_1=120\text{ miles} \end{gathered}$

The distance covered by bus on level road is faster than it raveled on a winding road.

The time spent on the winding road was 2 hour. So, the distance is,

$\begin{gathered} d_2=r\times t \\ d_2=2r\text{ miles} \end{gathered}$

The total distance was 360 miles.

$\begin{gathered} d_1+d_2=360 \\ 120+2r=360 \\ 2r=360-120 \\ 2r=240 \\ r=120 \end{gathered}$

Answer: the average speed on the level road is 120 mph