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There are 200 questions on a 3-hour examination. Among these

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There are 200 questions on a 3-hour examination. Among these [#permalink] New post 04 Oct 2020, 22:28
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There are 200 questions on a 3-hour examination. Among these questions are 50 mathematics problems. It is suggested that twice as much time be allowed for each maths problem as for each other question. How many minutes should be spent on mathematics problems?

A. 36 mins
B. 60 mins
C. 72 mins
D. 100 mins
E. 120 mins
[Reveal] Spoiler: OA

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Re: There are 200 questions on a 3-hour examination. Among these [#permalink] New post 05 Oct 2020, 02:04
Expert's post
3*60 = 180 minutes

2x = minutes spent on a math problem


\(x(200-50) + 2x(50) = 180
x(150) + 2x(50) = 180
150x + 100x = 180
250x = 180
x = 0.72\) minutes

C is the answer
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Re: There are 200 questions on a 3-hour examination. Among these [#permalink] New post 05 Oct 2020, 07:08
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Maths problems: 50
Other problems: 200 - 50 = 150

Let time for other problems: x
time for maths problems: 2x

50(2x) + 150(x) = 60 * 3
100x + 150x = 180
250x = 180
x=18/25

Time spent on maths: 50(2x) = 100x = 100 * 18/25 = 72 mins
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Re: There are 200 questions on a 3-hour examination. Among these   [#permalink] 05 Oct 2020, 07:08
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