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jn0r
Joined: 21 Jan 2021
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GMAT 1: 730 Q50 V40
Products:
Schools: Yale '25 (A$) Kellogg '25 (A$) McCombs '25 (A$) Cornell '25 (A$$) Fuqua '25 (M$$$) Tuck '25 (A$$$) Haas '25 (WL) Darden '25 (WL) Anderson '25 (A$$)
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323
15 Jun 2021, 04:44
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
5%
(low)
Question Stats:
95% (01:57) correct
5%
(02:00)
wrong
based on 87
sessions
History
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Time
Result
Not Attempted Yet
Ashley and Beatrice received the same score on a physical fitness test. The scores for this test, t, are determined by the formula t = 3ps - 25m where s and p are the numbers of sit-ups and push-ups the athlete can do in one minute and m is the number of minutes she takes to run a mile. Ashley did 10 sit-ups and 10 push-ups and ran an 8-minute mile. Beatrice did half as many sit-ups and twice as many push-ups. If both girls received the same overall score, how many minutes did it take Beatrice to run the mile?
(A) 4
(B) 8
(C) 10
(D) 16
(E) 20
(A) 4
(B) 8
(C) 10
(D) 16
(E) 20
DashingNightmare2
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Joined: 30 May 2021
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19 Jun 2021, 23:27
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Ashley did 10 sit-ups and 10 push-ups and ran an 8-minute mile => t = 3ps - 25m =3*10*10-25*8
Beatrice did half as many sit-ups and twice as many push-ups => t=3*20*5-25*x
Since both are equal, hence x=8
B
Beatrice did half as many sit-ups and twice as many push-ups => t=3*20*5-25*x
Since both are equal, hence x=8
B
20 Jun 2021, 00:19
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Before solving, pay attention to the statement Beatrice did half as many sit-ups and twice as many push-ups and see how t is determined ( t = 3ps - 25m).
=> p * s will be the same for Beatrice as that of Ashley because one value is halved and the other is doubled and when we multiply it remains the same.
So, the value of t should be the same for both which is possible when Beatrice also takes 8 mins to run a mile.
Answer B
=> p * s will be the same for Beatrice as that of Ashley because one value is halved and the other is doubled and when we multiply it remains the same.
So, the value of t should be the same for both which is possible when Beatrice also takes 8 mins to run a mile.
Answer B
