The trip was 6 hours long.
Step-by-step explanation:
Given,
The time to go to the island = 1[tex]\frac{1}{2}[/tex] 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 = [tex]\frac{3x}{4}[/tex]
According to the problem,
1[tex]\frac{1}{2}[/tex] +[tex]\frac{3x}{4}[/tex] = x
or, x - [tex]\frac{3x}{4}[/tex] = [tex]\frac{3}{2}[/tex]
or, [tex]\frac{x}{4}[/tex] = [tex]\frac{3}{2}[/tex]
or, x = [tex]\frac{3}{2}[/tex]×4 = 6 hours
Hence,
The trip was 6 hours long.
