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In March, Kurt ran an average of 1.5 miles an hour. If by June he had [#permalink]

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01 Sep 2011, 05:32

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In March, Kurt ran an average of 1.5 miles an hour. If by June he had increased his pace by 10 seconds per mile, then which of the following expresses the number of hours it would take Kurt to complete one mile in June?

A. 3590/60^2 B. 2410/60^2 C. 2390/60^2 D. 3586/60 E. 60^2/3590

The problem has two conversions to watch out for; first, it gives 1.5 miles in March but 1 mile in June second, it adds 10 seconds to his mile per hour rate. The order in which you deal with these are up to you, but they must be dealt with. First let’s deal with the 1.5 mile to 1 mile problem. Initially, he runs 1.5 miles per hour, which is the same as saying that he does 3 halves of a mile in 60 minutes, thus each half must take 20 minutes. Now we know that in March it took him 40 minutes to run a mile. Let’s now convert those minutes to seconds, 40 minutes = 2400 seconds. If by June he increased his pace by 10 seconds, that means it would take him less time to complete the mile, so in June a mile would take him 2390 seconds. Now we have the time it would take him to do a mile in June, so the last step is to convert 2390 seconds to hours. To do so we must divide 2390 by 60 to get minutes and then divide it again by 60 to convert minutes into hours.

Re: In March, Kurt ran an average of 1.5 miles an hour. If by June he had [#permalink]

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01 Sep 2011, 06:12

jamifahad wrote:

Post timing if possible.

In March, Kurt ran an average of 1.5 miles an hour. If by June he had increased his pace by 10 seconds per mile, then which of the following expresses the number of hours it would take Kurt to complete one mile in June?

Re: In March, Kurt ran an average of 1.5 miles an hour. If by June he had [#permalink]

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01 Sep 2011, 06:22

Answer choices for the question is given wrong in Princeton Review. But OE explains the correct answer choice which is not given in answer choices. Anyway, I have rectified answer choices.
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My dad once said to me: Son, nothing succeeds like success.

Re: In March, Kurt ran an average of 1.5 miles an hour. If by June he had [#permalink]

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01 Sep 2011, 18:22

jamifahad wrote:

Post timing if possible.

In March, Kurt ran an average of 1.5 miles an hour. If by June he had increased his pace by 10 seconds per mile, then which of the following expresses the number of hours it would take Kurt to complete one mile in June?

Re: In March, Kurt ran an average of 1.5 miles an hour. If by June he had [#permalink]

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06 Oct 2014, 01:17

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