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# For a physical fitness test, scores are determined by the ex

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GRE Prep Club Legend
Joined: 07 Jun 2014
Posts: 4857
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
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For a physical fitness test, scores are determined by the ex [#permalink]  27 Jul 2018, 06:58
Expert's post
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Question Stats:

75% (00:27) correct 25% (05:40) wrong based on 4 sessions
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
[Reveal] Spoiler: OA

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Sandy
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GRE Prep Club Legend
Joined: 07 Jun 2014
Posts: 4857
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 105

Kudos [?]: 1783 [0], given: 397

Re: For a physical fitness test, scores are determined by the ex [#permalink]  12 Aug 2018, 04:52
Expert's post
Explanation

First, calculate Abraham’s score: $$2ps - 45m, = 2(21)(30) - 45(10) = 1260 - 450 = 810$$.

Javed got a score of 810 also, but did 4 more push-ups than Abraham, or $$21 + 4 = 25$$ push-ups.

So, the formula for Javed’s score is:

$$810 = 2ps - 45m$$

$$810 = 2(25)s - 45(12)$$

$$810 = 50s - 540$$

$$1,350 = 50s$$

$$s = 27$$
_________________

Sandy
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Re: For a physical fitness test, scores are determined by the ex   [#permalink] 12 Aug 2018, 04:52
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