SOLUTION: Trains A and B are traveling in the same direction on parallel tracks. Train A is traveling at 40 miles per hour and train B is traveling at 48miles per hour. Train A passes a stat
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Question 187715: Trains A and B are traveling in the same direction on parallel tracks. Train A is traveling at 40 miles per hour and train B is traveling at 48miles per hour. Train A passes a station at 1:20pm. If train B passes the same station at 1:50 pm, at what time will train B catch up to Train A
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Trains A and B are traveling in the same direction on parallel tracks.
Train A is traveling at 40 miles per hour and train B is traveling at 48miles per hour.
Train A passes a station at 1:20pm.
If train B passes the same station at 1:50 pm,
at what time will train B catch up to Train A
-----------------------------
Train A DATA:
rate = 40 mph ; time = x hrs. ; distance = rt = 40x miles
-------------------------
Train B DATA:
rate = 48 mph ; time = x-(1/2) hr ; distance = rt = 48(x-(1/2)) miles
-------------------------
Equation:
distance A = disance B
40x = 48(x-(1/2))
40x = 48x - 24
8x = 24
x = 3 hrs
-------------
Time they pass one another:
1:20 + 3 hrs = 4:20pm
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Cheers,
Stan H.
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