Question

Kelka's family drove to Long Island. They drove 1 1/2 hours to get there. The return trip only took 3/4 of the time of the original trip. How long was the trip

Answer 1

The trip was 6 hours long.

Explanation:

Given,

The time to go to the island = 1
`(1)/(2)` hours.

The return trip took 3/4 of the time of the original trip.

To find the time of the trip.

Let,

The time of the original trip is x hours.

The time for returning =
`(3x)/(4)`

According to the problem,

1
`(1)/(2)` +
`(3x)/(4)` = x

or, x -
`(3x)/(4)` =
`(3)/(2)`

or,
`(x)/(4)` =
`(3)/(2)`

or, x =
`(3)/(2)`×4 = 6 hours

Hence,

The trip was 6 hours long.