14 persons can sink a tubewell in 12 days. How many extra persons are required to sink the tubewell in 8 days?

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West Bengal Group C 2016 Official Paper (Held On: 05 Mar, 2017) PYP
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  1. 9 persons
  2. 7 persons
  3. 3 persons
  4. 6 persons

Answer (Detailed Solution Below)

Option 2 : 7 persons
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CT 1: Ancient History (Prehistoric to Gupta Age)
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Detailed Solution

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Given:

14 persons can sink a tubewell in 12 days.

Time required to sink the tubewell = 8 days.

Formula used:

Work = Number of persons × Number of days

To sink the tubewell in 8 days, we calculate the total number of persons required.

Calculation:

Work done by 14 persons in 12 days = Work done by total persons required in 8 days.

⇒ 14 × 12 = Total persons required × 8

⇒ Total persons required = (14 × 12) ÷ 8

⇒ Total persons required = 21

Extra persons required = Total persons required - Initial persons

⇒ Extra persons required = 21 - 14

⇒ Extra persons required = 7

∴ The correct answer is option (2).

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