SOLUTION: This is from a worksheet given by my professor, not from a textbook.
Two bicyclists, one averaging 14 mph and one averaging 18 mph, start from the same point. The slower bicycli
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-> SOLUTION: This is from a worksheet given by my professor, not from a textbook.
Two bicyclists, one averaging 14 mph and one averaging 18 mph, start from the same point. The slower bicycli
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Question 189480: This is from a worksheet given by my professor, not from a textbook.
Two bicyclists, one averaging 14 mph and one averaging 18 mph, start from the same point. The slower bicyclist arrives at the end of the course a half-hour after the other bicyclist. Find the distance of the ride. Round to the nearest whole mile. Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! Two bicyclists, one averaging 14 mph and one averaging 18 mph, start from the
same point. The slower bicyclist arrives at the end of the course a half-hour
after the other bicyclist. Find the distance of the ride.
Round to the nearest whole mile.
;
Let d = distance of the ride:
:
Write a time equation; Time =
:
14mph biker time = 18mph biker time + one-half hr
: = +
Multiply equation by 252; (14*18)results:
18d = 14d + 126
:
18d - 14d + 126
:
4d = 126
d =
d = 31.5 ~ 32 mi
:
:
Check solution by finding the times of each
31.5/14 = 2.25
31.5/18 = 1.75
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dif = .5 hr
