SOLUTION: Question: "A person traveled from Point A to Point B at 8 mph. They then returned from Point B to Point A at 4 mph. The round trip took 3 hours, how many miles is it from Point A t

Question 754517: Question: "A person traveled from Point A to Point B at 8 mph. They then returned from Point B to Point A at 4 mph. The round trip took 3 hours, how many miles is it from Point A to Point B?" I just need an equation to solve. I have already attempted this question multiple times using different strategies and have come to the conclusion that the given information is insufficient.
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
The question is, how many miles from A to B?
Assume the distance although unknown, is d.

DIRECTION____________rate____________time______________distance
A to B_______________8_______________(___)_____________d
B to A_______________4_______________(___)_____________d
TOTAL________________________________3_________________2d

The unfilled information in the chart should be determined or found expressible enough to fillin the entry in the chart. (The time information).

DIRECTION____________rate____________time______________distance
A to B_______________8_______________(d/8)_____________d
B to A_______________4_______________(d/4)_____________d
TOTAL________________________________3_________________2d

YOU SEE a summation of terms for time equaling the total time of 3 hours. THAT gives you a useful equation in order to solve for d.
Answer by MathTherapy(10552) (Show Source): You can put this solution on YOUR website!

Question: "A person traveled from Point A to Point B at 8 mph. They then returned from Point B to Point A at 4 mph. The round trip took 3 hours, how many miles is it from Point A to Point B?" I just need an equation to solve. I have already attempted this question multiple times using different strategies and have come to the conclusion that the given information is insufficient.

There is definitely enough info to solve the problem, unlike what you were thinking.

Let distance from Point A to point B be D

Then time it took to get from point A to point B, traveling at 8 mph =

Time it took to get from point B back to point A, traveling at 4 mph =

Since the round trip took 3 hours, then we can say that:

Solve this equation and you'll get the distance from point A to point B

Do a check thereafter!!

Send comments and �thank-yous� to �D� at MathMadEzy@aol.com
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