A and B, working together can finish a piece of work in 162 days, while B alone can do it in 405 days. How many days will A alone take to finish it?

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OSSC CGL 2022 Official Paper (Held on: 19th Oct Shift 1)
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  1. 280
  2. 290
  3. 270
  4. 260

Answer (Detailed Solution Below)

Option 3 : 270
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Detailed Solution

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Given:

A and B working together can finish a piece of work in 162 days.

B alone can do it in 405 days

Formula used:

A alone can do it in = xy / (y-x) days

Here x = (A + B)'s working day

y = B's working day

Calculation:

Applying the above formula

A alone can do it = (162× 405) / (405- 162)

= 65610 / 243

= 270 days

∴ The correct answer is 270 days.

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