SOLUTION: Trains A and B are traveling in the same direction on parallel tracks. Train A is traveling at 60 miles per hour and B is traveling at 70 miles per hour. Train A passes the station

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: Trains A and B are traveling in the same direction on parallel tracks. Train A is traveling at 60 miles per hour and B is traveling at 70 miles per hour. Train A passes the station      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 337057: Trains A and B are traveling in the same direction on parallel tracks. Train A is traveling at 60 miles per hour and B is traveling at 70 miles per hour. Train A passes the station at 3:15pm. If Train B passes the station at 3:27, what time will Train B catch up to Train A?
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
let train B meet train A at x miles distance
during that time train A travels x-12 miles
because it was 12 minutes early at the station.
In12 minutes it travels 12 miles. ( 60 mph)
x/70 = x-12/60
60x= 70(x-12)
60x= 70x-840
add 840 to both sides
60x+840=70x+840-840
60x+840 =70x
add -60x
60x-60x+840 = 70x -60x
10x =840
divide by 10
x= 84
..
train B speed = 70 mph
distance = 84 miles
time taken = 84/70 =1.2 hours 1 hour 12 minutes
train B will catch up with train A at 4:39 pm