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If there are 150 questions in a 3 hr examination. Among these questions 50 are type A problems, which requires twice as much as time be spent on the rest of the type B problems. How many minutes should be spent on type A problems ?

Correct Answer: 90 min

Explanation:

Let X = Time taken for each of Type B Problems(100 Problems)
And 2X = Time taken for each of Type A problems(50 problems)


Total time period = 3hrs = 3 x 60min = 180 minutes


100X + 50(2X) = 180
100X + 100X = 180
200X = 180 min


X = 180/200
X = 0.90 min


By convertiing into seconds,


X = 0.90 x 60 seconds
X = 54 sec


So, time taken for Part A problems is = 54 x 2 x 50 = 5400 seconds
= 5400/60sec = 90 minutes.


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