Problema Solution

Towns P and Q are 500miles apart. Train A leaves P, heading toward Q, at 50miles per hour. On the next track, Train B leaves Q, heading toward P, at 45 miles per hour. How far apart are the locomotives of the two trains after 8 hours?

Answer provided by our tutors

let


t = 8 hr

v1 = 50 mph the speed of train A

v2 = 45 mph the speed of train B


since speed = distance/time => distance = speed*time


(v1*t + v2*t) - 500 = t(v1 + v2) - 500 = 8(50 + 45) - 500 = 260 mi


after 8 hours the trains will be 260 miles apart.