Question

Wilma drove at an average speed of 60 mi/h from her home in City A to visit her sister in City B. She stayed in City B 15 hours, and on the trip back averaged 35 mi/h. She returned home 41 hours after leaving. How many miles is City A from City B

Answer 1

574.8 miles

Explanation:

Given:

An average speed of Wilma from City A to City B = 60 miles per hour

She stayed in City B 15 hours.

An average speed of Wilma from City B to City A = 35 miles per hour.

Whole time taken including 15 hours stay in city B = 41 hours

Question asked:

How many miles is City A from City B ?

Solution:

Total time taken including 15 hours stay in city B = 41 hours

Total time taken on the trip excluding stay in city B = 41 - 15 = 26 hour

Let time taken during from city A to city B =
`x`

Time taken during from city B to city A =
`26-x`

As distance traveled from city A to city B is equal to distance traveled from city B to city A:-

And by using :
`Distance=speed* time`

Distance traveled from city A to city B = Distance traveled from city B to A

`speed* time` =
`speed* time`

`60* x=35(26-x)\\60x=910-35x`

Adding both sides by
`35x`

`95x=910`

Dividing both sides by 95

`x=9.58\ hours`

Distance traveled from city A to city B =
`speed* time`

= 60
`*` 9.58

= 574.8 miles

Therefore, there are 574.8 miles from City A to City B.