Q:

A ship left port a with a speed of 40 mph. in 1.25 of an hour, a second ship left the port with a speed of 60 mph. in how many hours and at what distance from port a will the second ship catch up with the first one

Accepted Solution

A:
In 1.25 hrs, the first ship went 50 miles. This is the distance between the two ships. So, at the start of the second ships journey, it has to catch up with the other one that is 50 miles away. It is going 20 mph faster than ship 1. 50 divided by 20 is 2.5 hours. 60 times 2.5 hours is 150 miles. So at 150 miles in 2.5 hours, the two ships will be at the exact same spot.