40 men can complete a work in 15 days. Three days after they started working, 20 more men joined them. In how many days the total work will be completed?

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SSC CGL 2022 Tier-I Official Paper (Held On : 05 Dec 2022 Shift 3)
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  1. 12
  2. 13
  3. 11
  4. 10

Answer (Detailed Solution Below)

Option 3 : 11
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Detailed Solution

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Given:

40 men can complete work in 15 days

Number of days 40 men worked = 3 days

20 new men are joined 

Concept used:

Work = time × efficiency

Calculation:

Let the efficiency of each man be 'm'.

Total work = 40 × m × 15 

⇒ 600m

Work done in 3 days = 40 × 3 × m

⇒ 120m

Remaining work = 600m - 120m = 480m

Let the number of days needed to complete the remaining work be N

So, 60 × N × m = 480m

⇒ N = 8

So, total time = 3 + 8

⇒ 11 days

 The total work will be completed in 11 days.

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