SOLUTION: What is the algegra equation for this word problem: Train leaves a station traveling at 64 kilometers per hour. Train B leaves the same direction at 74 kilometers per hour. Ho

Question 168137: What is the algegra equation for this word problem:
Train leaves a station traveling at 64 kilometers per hour. Train B leaves the same direction at 74 kilometers per hour. How long does it take train b to catch up to train a?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
You left something out. Train B would have to leave some time after Train A for this to make sense.
:
Train leaves a station traveling at 64 kilometers per hour. Train B leaves the
the station 4 hrs later going the same direction at 74 kilometers per hour.
How long does it take train b to catch up to train a?
:
Let t = travel time required by B to catch up with A
then
(t+4) = travel time of A, when it's overtaken by B
:
When this happens both trains will have traveled the same distance
Write a distance equation from fact (Dist = speed * time)
:
B dist = A dist
74t = 64(t+4)
:
74t = 64t + 256
:
74t - 64t = 256
:
10t = 256
t =
t = 25.6 hrs is the travel time of Train B to catch up with A
:
:
Check solution by ensuring they both went the same dist(Train A time = 29.6 hrs)
74 * 25.6 = 1894.4 mi
64 * 29.6 = 1894.4 mi
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