At Westonci.ca, we connect you with the answers you need, thanks to our active and informed community. Ask your questions and receive precise answers from experienced professionals across different disciplines. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

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.

Sagot :

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,

[tex]\begin{gathered} d_1=r\times t \\ d_1=6\times20 \\ d_1=120\text{ miles} \end{gathered}[/tex]

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,

[tex]\begin{gathered} d_2=r\times t \\ d_2=2r\text{ miles} \end{gathered}[/tex]

The total distance was 360 miles.

[tex]\begin{gathered} d_1+d_2=360 \\ 120+2r=360 \\ 2r=360-120 \\ 2r=240 \\ r=120 \end{gathered}[/tex]

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