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.

Step-by-step explanation:

Given,

The time to go to the island = 1$\frac{1}{2}$ 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 = $\frac{3x}{4}$

According to the problem,

1$\frac{1}{2}$ +$\frac{3x}{4}$ = x

or, x - $\frac{3x}{4}$ = $\frac{3}{2}$

or, $\frac{x}{4}$ =  $\frac{3}{2}$

or, x =  $\frac{3}{2}$×4 = 6 hours

Hence,

The trip was 6 hours long.