<PRE><B>Question 1017631</B>
 cyclist traveling at 24km/h takes 15 minutes longer to complete a certain distance than his competitor traveling at 32km/h.
 Calculate the distance covered.
:
let d = the distance each covers
change 15 min to .25 hrs
Write a time equation, time = dist/speed
{{{d/24}}} - {{{d/32}}} = .25
multiply equation by the least common denominator, 96; cancel the denominators
4d - 3d = 96(.25)
d = 24 mi is the distance
:
:
Check this by finding the actual time
24/24 = 1 hr
24/32 = .75 hrs
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difference .25 hrs </PRE>