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?

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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(39616) About Me  (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

d%2F140%2Bd%2F110=6
Find d;
then find d%2F140.



d=369.6 miles
-
d%2F140=2.64 or 2 hours 38 minutes

Answer by MathTherapy(10551) About Me  (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: highlight_green%28matrix%281%2C3%2C+140T%2C+%22=%22%2C+110%286+-+T%29%29%29
Solve this for T and you should get the time from A to B.
Yes, IT IS that easy!!

Answer by greenestamps(13198) About Me  (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.