SOLUTION: How far can the members of a bicycling club ride out into the country at a speed of 12 mph and return over the same road at 8 mph if they travel a total of 10 hours?

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Question 619728: How far can the members of a bicycling club ride out into the country at a speed of 12 mph and return over the same road at 8 mph if they travel a total of 10 hours?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

How far highlight%28x%29 can the members of a bicycling club ride out into the country at a speed of 12 mph 

and return over the same road at 8 mph if they travel a total of 10 hours? 

 D = rt   or D/r = t

  x/12mph + x/8mph = 10hrs   |Multiplying thru by 24 so as all denominators = 1

   2x + 3x = 240

    5x = 240

     x = 48mi

CHECKING our Answer***

    48mi/12mph + 48mi/8mph = 4hr + 6hr = 10hr