SOLUTION: In a race, bicycles M and N start from the same point at the same time, traveling at 18 kilometers per hour and 10 kilometers per hour, respectively. If bicycle N finishes the race

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Question 829270: In a race, bicycles M and N start from the same point at the same time, traveling at 18 kilometers per hour and 10 kilometers per hour, respectively. If bicycle N finishes the race 2 minutes behind bicycle M, what is the length of the race in kilometers?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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In a race, bicycles M and N start from the same point at the same time, traveling at 18 kilometers per hour and 10 kilometers per hour, respectively.
If bicycle N finishes the race 2 minutes behind bicycle M,
what is the length of the race in kilometers?
:
let d = distance of the race
Write a time equation; time = dist/speed
Slow time - fast time = 2 min
d%2F10 - d%2F18 = 2%2F60; (time is in hrs)
multiply by 180 to clear the denominators, results:
18d - 10d = 3(2)
8d = 6
d = 6%2F8 = 3%2F4 km is the length of the race
:
:
See if that works, find the actual time of each
.75/10 = .075 hrs
.75/18 = .042 hrs
-------------------
difference .033 hrs
.033 * 60 = 1.98 ~ 2 min