SOLUTION: Train A leaves a station traveling at 32 kilometers per hour. 4 hours later, train B leaves the same station traveling in the same direction at 52 kilometers per hour. How long doe

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Question 104704: Train A leaves a station traveling at 32 kilometers per hour. 4 hours later, train B leaves the same station traveling in the same direction at 52 kilometers per hour. How long does it take train B to catch up to train A?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Rate x Time = Distance
Train A rate : 32 km/h
Train A time : t+4 hrs (it's 4 hours ahead of train B)
Train A distance : 32(t+4)
Train B rate : 52 km/h
Train B time : t hrs
Train B distance : 52t
Train B catches Train A when the distances from the station is equal.
32%28t%2B4%29=52t
32t%2B128=52t
32t-32t%2B128=52t-32t Additive inverse of 32t
128=20t Simplify
t=128%2F20 Multiplicative inverse of 20.
t=32%2F5hours
Always check your answer:
Train A travels 32(t+4) km
32%28t%2B4%29=32%2832%2F5%2B4%29=332.8
Train B travels 52t km
52t=52%2832%2F5%29=332.8
Train A distance = Train B distance.
Good answer.
t=32/5 hours
or 6.4 hours
or 6 hrs 24 min