SOLUTION: A cyclist travelling at 24km/htakes 15 minutes longer to complete a certain distance than his competitor travelling at 32km/h. Calculate the distance covered.

Question 1017631: A cyclist travelling at 24km/htakes 15 minutes longer to complete a certain distance than his competitor travelling at 32km/h. Calculate the distance covered.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
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
- = .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
----------------
difference .25 hrs
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