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Punit and Pankaj can do a work together in 5 days. If Punit is thrice as efficient as Pankaj, in how many days will Pankaj do the job alone?

Punit and Pankaj can do a work together in 5 days. If Punit is thrice as efficient as Pankaj, in how many days will Pankaj do the job alone? Correct Answer 20 days

Let Pankaj take ‘x’ days to do the work alone

Pankaj’s 1 day work = 1/x

Punit’s 1 day work = 3/x

When they work together, their 1 day work = 1/x + 3/x = 4/x

⇒ 4/x = 1/5

⇒ x = 4 ×5 = 20 days

∴ Pankaj will take 20 days to do the work alone

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