Problema Solution
Two trains leave the station at the same time, one heading west and the other east. The westbound train travels
12miles per hour faster than the eastbound train. If the two trains are
510miles apart after
3hours, what is the rate of the westbound train?
Answer provided by our tutors
Let
v = the rate of the eastbound train, v>0
v + 12 = the rate of the westbound train
d = 510 mi the distance between the trains
t = 3 hr the time of the travel
Since speed = distance/time follows distance = speed*time
v*t + (v + 12)*t = d
v*3 + (v + 12)*3 = 510
........
........
v = 79 mph
The rate of the westbound train is 79 mph.