Question

K

A bus traveled on a level road for 3 hours at an average speed 20 miles per hour faster than it traveled
on a winding road. The time spent on the winding road was 5 hours. Find the average speed on the
level road if the entire trip was 420 miles.
The bus's speed on the level road was
mph.

Answer 1

Answer: the bus's speed on the level road was 65 milles per hour

Explanation:

Let the bus's speed on the level road is x mph

Hence, the bus's speed on the winding road is (x-20) mph

Thus,

3(x)+5(x-20)=420

3x+5x-100=420

8x-100=420

8x-100+100=420+100

8x=520

Divide both parts of the equation by 8:

x=65 mph