two trains left Metropolis at the same time One traveled sou

two trains left Metropolis at the same time. One traveled south at 60 mph. The other traveled east at 50 mph. How far apart were the trains at the end of three hours

Solution

After 3 hours, train A is 180 miles South
and Train B is 150 miles East
Using Pythagoras, distance between is sqrt(180^2 + 150^2)
30 sqrt(6^2 + 5^2) = 30sqrt(36 + 25) = 30sqrt 61 = 234.307 miles