P is two times as efficient as Q. P is able to complete a piece of work in 40 days less than Q. Working together, the whole number of days taken by them to complete the work is:

(Round off to the nearest integer)

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SSC CGL 2023 Tier-I Official Paper (Held On: 14 Jul 2023 Shift 2)
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  1. 26
  2. 25
  3. 27
  4. 28

Answer (Detailed Solution Below)

Option 3 : 27
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Detailed Solution

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Given

P is two times as efficient as Q

P is able to complete a piece of work in 40 days less than Q.

Concept

Efficiency is inversely related to time.

Work done = efficiency × time

Calculation

P = 2Q

P:Q = 2:1

The ratio of time = 1:2

1 → 40

P's time = 40

Q's time = 80

Working together, the whole number of days taken by them to complete the work is:

⇒ (80 × 40)/120

⇒ 26.66 = 27 days

Working together, the whole number of days taken by them to complete the work is 27 days.

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