posted by Leila on .
trains a and b are traveling in the same direction on parallel tracks. train a is traveling at 60 miles per hour and train b is traveling at 64 miles per hour. train a passes a station at 1:25 pm. if train b passes the same station at 1:55 pm, at what time will train b catch up to train a?
Let the time from 1:55 to when they meet be t hours
so when they meet:
train a has gone 30 + 60t miles
train b has gone 64t miles
64t = 30 + 60t
t = 15/2 or 7.5 hours = 7hours, 30 minutes
so the meet at 1:55 + 7:30 = 9:25 pm
check: first train went from 1:25 to 9:25 or 8 hours
distance = 8(60) = 480 miles
second train from 1:55 to 9:25 = 7.5 hours
distance - 7.5(64) = 480 miles
-9f + 7f - 17