If Anju is 30% more efficient than Bitt, then how much time will they take, working together, to complete a job which Anju alone could have done in 23 days?

Question

Question

This question was previously asked in

SSC CGL 2022 Tier-I Official Paper (Held On : 12 Dec 2022 Shift 1)

Answer 1

Given:

Anju is 30% more efficient than Bitt

Anju can complete the task in 23 days.

Concept used:

Total work = Efficiency of the worker × time taken by the worker

Calculation:

Let the efficiency of Bitt be 10a

So, efficiency of Anju = 10a × 130%

⇒ 13a

So, total work = 13a × 23

⇒ 299a

Now,

If they both work then time = 299a/(13a + 10a)

⇒ 299a/23a

⇒ 299/23

⇒ 13

∴ The required answer is 13 days.

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