SOLUTION: A plane average 500 mph on a trip going east, but only 350 mph on the return trip. The total flying time in both directions was 6.8 hours. What was the one-way distance?

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Question 1155256: A plane average 500 mph on a trip going east, but only 350 mph on the return trip. The total flying time in both directions was 6.8 hours. What was the one-way distance?
Answer by ikleyn(52776) About Me  (Show Source):
You can put this solution on YOUR website!
.

Let d be one way distance.


Then the time flying "to there" is  d%2F500  hours;  the time flying back is  d%2F350  hours.


The total time equation is


    d%2F500 + d%2F350 = 6.8 hours.


Multiply both sides by  500*350. You will get


    350*d + 500*d = = 6.8*500*350

    850d          = 119000

       d = 1190000%2F850 = 1400.


ANSWER.  One way distance is 1400 miles.

Solved.

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Using  "time"  equation is a  STANDARD  method of solving such problems.
From this lesson,  learn on how to write,  how to use and how to solve a  "time"  equation.

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