The boat travels x miles per hour from one island to another island in 2.5 hours. the boat travels 5 miles per hour faster on the return trip of 2 hours. what is the distance between the island?

The speed to the island is x. The speed to return is x+5.

The distance is the same so, 2.5 multiplied by x = 2×(x+5).

It took 2.5 hrs to get there and 2 hrs to return. Now all we have to do is solve.

 2.5*x = 2x + 10

 .5x = 10
x=20

 Therefore, the distance between islands is 2.5 × 20 = 50 miles.

hope this helps!