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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
(A) 16
(B) 19
(C) 25
(D) 27
(E) 35
30 Jul 2018, 10:48
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Bunuel
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
(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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30 Jul 2018, 10:54
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Bunuel
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
(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.
