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Ryan Ziemba
- Junior | Next Rank: 30 Posts
- Posts: 25
- Joined: Thu May 27, 2010 8:34 pm
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Problem
Two horses begin running on an oval course at the same time. One runs each lap in 9 minutes; the other takes 12 minutes to run each lap. How Many minutes after the start will the faster horse have a one lap lead?
(a) 36
(b) 12
(c) 9
(d) 4
(e) 3
The solution provided by Kaplan is certainly adequate. It states that since a lap is completed every 9 minutes by the faster horse and in that same amount of time the slower horse will have completed 9/12 or 3/4 of a lap, thus making the faster horse 1/4 lap ahead of the slower horse. At this point you can simply figure out that it will take four, 9-minute periods to get one full lap ahead of the slower horse which will have taken a total of 9x4 minutes to achieve.
My question, however, is whether it is feasible to address this problem by using the Rate Pie methodology, which I am generally more comfortable with.
[/img]
Two horses begin running on an oval course at the same time. One runs each lap in 9 minutes; the other takes 12 minutes to run each lap. How Many minutes after the start will the faster horse have a one lap lead?
(a) 36
(b) 12
(c) 9
(d) 4
(e) 3
The solution provided by Kaplan is certainly adequate. It states that since a lap is completed every 9 minutes by the faster horse and in that same amount of time the slower horse will have completed 9/12 or 3/4 of a lap, thus making the faster horse 1/4 lap ahead of the slower horse. At this point you can simply figure out that it will take four, 9-minute periods to get one full lap ahead of the slower horse which will have taken a total of 9x4 minutes to achieve.
My question, however, is whether it is feasible to address this problem by using the Rate Pie methodology, which I am generally more comfortable with.
[/img]
