Trains A and B are traveling in the same direction on parall

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

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 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
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Train A DATA:
rate = 40 mph ; time = x hrs. ; distance = rt = 40x miles
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Train B DATA:
rate = 48 mph ; time = x-(1/2) hr ; distance = rt = 48(x-(1/2)) miles
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Equation:
distance A = disance B
40x = 48(x-(1/2))
40x = 48x - 24
8x = 24
x = 3 hrs
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Time they pass one another:
1:20 + 3 hrs = 4:20pm