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)   (Show Source): You can put this solution on YOUR website!
 
Hi,
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?
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
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