Question

Mark drives a distance of 124 miles in 3 hours. He drove 4512 miles during the first hour. He drove equal distances in each of the remaining 2 hours to complete his journey. What is the distance covered in the last hour?

Answer 1

`x = 39(1)/(4)`

Explanation:

Given

`Total\ Distance = 124\ miles`

`First\ hour = 45(1)/(2)`

Required

Determine the distance covered in the last hour

Since the distance in the last 2 hours are the same. Represent the distance in each of the remaining hours as x.

So:

`First\ Hour + Second\ Hour + Third\ Hour = Total`

`45(1)/(2) + x + x = 124`

`45(1)/(2) + 2x = 124`

Collect Like Terms

`2x = 124 - 45(1)/(2)`

`2x = 124 - (91)/(2)`

Take LCK

`2x = (248-91)/(2)`

`2x = (157)/(2)`

Divide both sides by 2

`x = (157)/(2) * (1)/(2)`

`x = (157)/(4)`

`x = 39(1)/(4)`

Hence, the distance in the third lap is:
`x = 39(1)/(4)`