How far apart are the locomotives of Trains A and B after 5 hours? miles

Question

Towns P and Q are 700 miles apart. Train A leaves P, heading toward Q, at 60 miles per hour. On the next track, Train B leaves Q, heading toward P, at 65 miles per hour.

Answer 1

Assuming the trains left at the same time;

The total distance traveled by train A is given by

D1 = speed*time = 60*5 = 300 miles

The total distance traveled by train B is given by

D2 = speed *time = 65*5 = 325 miles

The total distance traveled by both trains is

D₁ + D₂ = 300 miles + 325 miles = 625 miles

The distance between the trains after five hours of traveling toward each other is

Distance between P and Q minus 625 miles

= 700 miles - 625 miles = 75 miles