SOLUTION: The cross-country team left school and trotted to the duck pond at 3 mph. Then they ran back to the school at 7 mph. If the total trip took 10 hours, how far was it to the duck pon

Question 1202570: The cross-country team left school and trotted to the duck pond at 3 mph. Then they ran back to the school at 7 mph. If the total trip took 10 hours, how far was it to the duck pond?
Answer by ikleyn(52858) (Show Source): You can put this solution on YOUR website!
.


Write the time equation


     +  = 10 hours.


Here d is one way distance, and the terms in the left side 
represent time to the pond and back, respectively.


To solve equation, multiply both sides by 3*7.  You will get

    7d + 3d = 10*3*7

      10d   = 10*3*7

        d   =  3*7 = 21.


ANSWER.  The one-way distance is 21 miles.


CHECK.  Time to get pond is   = 7 hours.

        Time to return back is   = 3 hours.

        Total time is  7 + 3 = 10 hours.   ! correct !

Solved.

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