<PRE><B>Question 189480</B>
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 = {{{dist/speed}}}
:
14mph biker time = 18mph biker time + one-half hr
:
{{{d/14}}} = {{{d/18}}} + {{{1/2}}}
Multiply equation by 252; (14*18)results:
18d = 14d + 126
:
18d - 14d + 126
:
4d = 126
d = {{{126/4}}}
d = 31.5 ~ 32 mi
:
:
Check solution by finding the times of each
31.5/14 = 2.25
31.5/18 = 1.75
-------------
dif  = .5 hr</PRE>