SOLUTION: Train A leaves a station traveling at 40 miles per hour. Four hours later train B leaves the same station traveling in the same direction at 60 miles per hour. How long does it tak

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Question 269091: Train A leaves a station traveling at 40 miles per hour. Four hours later train B leaves the same station traveling in the same direction at 60 miles per hour. How long does it take for train B to catch up to train A?
[A] 9 hr [B]10hr [C] 8hr [D] 11hr

Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
What is A's headstart?


mi
Now you start a stopwatch. The start time and stop time
for both trains will be the same, or
so call this time
(1)
(2)
given:


So, now I have:
(1)
(2)
Train B has to make up the mi headstart of train A, so

So, I have:
(1)
(2)
Substitute (1) into (2)



It takes 8 hrs for B to catch A
check:
(1)


(2)




That was headstart of A

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