Question

A bus traveled on level Road for 3 hours at an average speed of 20 miles per hour faster than it leveled on a Winding Road this time spent on a winding road was 5 hours find the average speed on the level Road if the entire trip was 364 miles?

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Answer 1

58mph

Explanation:

let x = speed on winding road

The bus travels that road for 5 hours, so you have 5x. The bus travels on level road 20mph faster (x+20) for 3 hours, so 3(x+20). the distances covered on those two roads is 364 miles, so write and solve an equation.

5x + 3(x+20) = 364

distribute to get rid of parens

5x + 3x + 60 = 364

combine x's and subtract 60 from both sides

8x = 304

divide by 8 to solve for x

x = 38

x is the speed on the winding road, but the question asks for the speed on level road, so you look back and have to add 20, so the answer is 58mph.