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Question

The number of minutes needed to solve an exercise set of variation problems varies directly as the number of problems and inversely as the number of people working on the solutions. It takes 4 people 36 minutes to solve 18 problems. How many minutes will it take 6 people to solve 42 problems.



A
54 minutes
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B
56 minutes
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C
60 minutes
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D
None of these
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Solution

The correct option is B 56 minutes
Let the given Function be represented as

Minutes=k(NumberOfProblemsNumberOfPeople)

Let us find the Value of k
36=k184
k=8

Now Let us use the Above Formula for problem=42 and people=6

Minutes=8×426
Minutes=8×7
Minutes=56

Therefore Answer is (B)

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