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SSC Selection Post 2022 PYQ — Question 65

SSC Selection Post - Matriculation Level - 3 Feb 2022 - Shift 1 • Quantitative Aptitude • Q65

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A takes 42 hours to complete the work. B completes the same work in two-thirds of the time taken by A. What fraction of the work will they do in 14 hours?

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Correct answer: B

Explanation

The correct answer is Option 2 i.e. 56 {{5} \over 6}.

Time taken by B = 23×42{2\over3}\times42 = 28 days

LCM(42, 28) = 84 units

The efficiency of A = 84/42 = 2 units

The efficiency of B = 84/28 = 3 units

Work done in 14 hours = 14 × 5 = 70 units

Fraction of work completed = 7084=56{70\over84}={5\over6}