Problem: There are 200 questions in a 3-hour examination. Among these questions are 50 mathematics problems. It is suggested that twice as much time be allowed for each mathematics problem as for the other questions. How many minutes should be spent on the mathematics problems?
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Correct Answer: 72 Min
Explanation:
Number of questions = 200Time = 3 hour = 3 x 60 = 180 minutes.
As Math questions 50 Nos, so other question = (200 – 50) = 150 nosLet,
Time given for each question of 150 other questions is = x minutes
Time given for each question of 50 math questions is = 2x minutes
According to question, 150x+50 x 2x= 180x = $\frac{180}{250}$
Time required for each math question = 2x = 2 x $\frac{180}{250}$ minutes
Time required for each math question = 2 x $\frac{180 x 50}{250}$ minutes
= 72 minutes.