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SSC CHSL 2021 PYQ — Question 51

SSC CHSL - 6 Aug 2021 - Shift 3 • Quantitative Aptitude • Q51

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Suman and Lata working together can complete a task in 8 days. If Lata can complete the same task in 12 days, then how many days will Suman take to complete the same task?

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Correct answer: B

Explanation

The correct answer is option 2 i.e. 24

Concept USed:

Total work = efficiency × total time

Explanation:

Let the total work to be done be LCM(8, 12) = 24 units.

According to the given question,

Efficiency of Suman and Lata together = 24824 \over 8 = 3 units\day

Efficiency of LAta = 241224 \over 12 = 2 units/day

Now, efficiency of Suman = 3 - 2 = 1 unt/day

So, Suman can complete the whole work alone = 24124 \over 1 = 24 days.

Hence the required answer is 24 days.