SOLUTION: A train traveling at 40 miles per hour leaves for a certain town. One hour later, a bus traveling at 50 miles per hours leaves for the same town and arrives at the same time as th

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Question 33542: A train traveling at 40 miles per hour leaves for a certain town. One hour later, a bus traveling at 50 miles per hours leaves for the same town and arrives at the same time as the train. If both the train and the bus traveled in a straight line, how far is the town from where they started?
Please help me I think the answer is 200 but I don't know how to set the problem up

Answer by Cintchr(481)   (Show Source): You can put this solution on YOUR website!

In this case, the distance for both is the same, so for our convenience the train's variables are in caps.

r=50
t= T-1 (it started an hour later)
R=40
T= this is what we will solve for

Solve for T

Subtract 50T

divide by -10

So if the Train takes 5 hours, the bus takes 4.

CHECK



and this IS the distance.


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