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15 men can complete a piece of work in 20 days. After how many days should 10 men join the work so that the whole work is completed in 14 days?


1. 10
2. 2
3. 3
4. 4
5. 5

1 Answer

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Correct Answer - Option 5 : 5

Given:

15 men can complete the work in 20 days

Concept used:

Equating the total work

Calculation:

Let the total work be 15 × 20 = 300

Let n be the working days of 15 men

300 = 15 × n + (14 – n) × 25

⇒ 300 = 15n + 350 – 25n

⇒ -10n = - 50

⇒ n = 5

The number of day after which 10 men joined the work is 5 days.

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