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For a physical fitness test, scores are determined by the expression 2

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For a physical fitness test, scores are determined by the expression 2  [#permalink]

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New post 30 Jul 2018, 00:49
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For a physical fitness test, scores are determined by the expression 2ps – 45m, where p and s are the numbers of push-ups and sit-ups an athlete can do in one minute for each activity and m is the number of minutes the athlete takes to run a mile. During the test, Abraham did 21 push-ups and 30 sit-ups and ran the mile in 10 minutes. Javed got the same score, but did 4 more push-ups and ran the mile in 12 minutes. How many sit-ups did Javed do in one minute?

(A) 16
(B) 19
(C) 25
(D) 27
(E) 35

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For a physical fitness test, scores are determined by the expression 2  [#permalink]

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New post 30 Jul 2018, 10:48
Bunuel wrote:
For a physical fitness test, scores are determined by the expression 2ps – 45m, where p and s are the numbers of push-ups and sit-ups an athlete can do in one minute for each activity and m is the number of minutes the athlete takes to run a mile. During the test, Abraham did 21 push-ups and 30 sit-ups and ran the mile in 10 minutes. Javed got the same score, but did 4 more push-ups and ran the mile in 12 minutes. How many sit-ups did Javed do in one minute?

(A) 16
(B) 19
(C) 25
(D) 27
(E) 35


Abraham's score\(=2*21*30-45*10=1260-450=810\)

Javed's score \(= 2*25*s-45*12=50s-540\), equate the two equations to get

\(50s-540=810=>50s=1350 => s=27\)

Option D
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Re: For a physical fitness test, scores are determined by the expression 2  [#permalink]

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New post 30 Jul 2018, 10:54
Bunuel wrote:
For a physical fitness test, scores are determined by the expression 2ps – 45m, where p and s are the numbers of push-ups and sit-ups an athlete can do in one minute for each activity and m is the number of minutes the athlete takes to run a mile. During the test, Abraham did 21 push-ups and 30 sit-ups and ran the mile in 10 minutes. Javed got the same score, but did 4 more push-ups and ran the mile in 12 minutes. How many sit-ups did Javed do in one minute?

(A) 16
(B) 19
(C) 25
(D) 27
(E) 35


For Abraham . p = 21, s = 30 & m = 10
\(2ps-45m = (2*21*30)-(45*10) = 1260 - 450 = 810\)

For Javed, p = 21+4 = 25, m = 12 & s= ?
\(2ps-45m = (2*25*s) - (45*12) = 50s - 540.\)

It is given that Abraham's Score is equal to Javed's
\(50s - 540 = 810\)
\(50s = 1350\)
\(s = 27.\)

Ans D.
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Re: For a physical fitness test, scores are determined by the expression 2  [#permalink]

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New post 01 Aug 2018, 16:30
Bunuel wrote:
For a physical fitness test, scores are determined by the expression 2ps – 45m, where p and s are the numbers of push-ups and sit-ups an athlete can do in one minute for each activity and m is the number of minutes the athlete takes to run a mile. During the test, Abraham did 21 push-ups and 30 sit-ups and ran the mile in 10 minutes. Javed got the same score, but did 4 more push-ups and ran the mile in 12 minutes. How many sit-ups did Javed do in one minute?

(A) 16
(B) 19
(C) 25
(D) 27
(E) 35


We can create the equation:

2 x 21 x 30 - 45 x 10 = 2 x 25 x s - 45 x 12

1,260 - 450 = 50s - 540

810 = 50s - 540

1350 = 50s

27 = s

Answer: D
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Re: For a physical fitness test, scores are determined by the expression 2 &nbs [#permalink] 01 Aug 2018, 16:30
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