SOLUTION: To get from A to B, the train average 140 MPH, on the way back it averages 110 MPH. The total roundtrip took 6 hours, how long did it take to go from A to B?

Question 1124070: To get from A to B, the train average 140 MPH, on the way back it averages 110 MPH. The total roundtrip took 6 hours, how long did it take to go from A to B?
Found 3 solutions by josgarithmetic, MathTherapy, greenestamps:
Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!

SPEED TIME DISTANCE AtoB 140 d/140 d BtoA 110 d/110 d TOTAL 6

Find d;
then find .

miles
-
or 2 hours 38 minutes
Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

To get from A to B, the train average 140 MPH, on the way back it averages 110 MPH. The total roundtrip took 6 hours, how long did it take to go from A to B?

The equation you need is a DISTANCE one:
Solve this for T and you should get the time from A to B.
Yes, IT IS that easy!!
Answer by greenestamps(13200)   (Show Source): You can put this solution on YOUR website!

Here is a completely different way to solve the problem than shown by the other tutor.

The ratio of speeds going and returning is 140:110 = 14:11.

Since the distances are the same, the ratio of times is 11:14.

So the amount of time going from A to B is 11/25 of the total of 6 hours:
6*(11/25) = 66/25 hours.

Try both methods and see what works best for you.

Better yet, think about other ways to solve the problem and see if you find a way that is even easier for you.
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