10 pipes of the same diameter can fill a tank in 24 minutes. If 2 pipes go out of order, how long will the remaining pipes take to fill the tank?

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ITBP Constable (Animal Transport) 16 Feb 2020 Official Paper
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  1. 30 min.
  2. 40 min.
  3. 45 min.
  4. 19 min.

Answer (Detailed Solution Below)

Option 1 : 30 min.
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Detailed Solution

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Given:

10 pipes can fill a tank in 24 minutes.

2 pipes go out of order.

Formula used:

Time taken is inversely proportional to the number of pipes.

Calculation:

Initially, 10 pipes take 24 minutes to fill the tank.

⇒ Total time with 10 pipes = 24 minutes

Let the time taken by the remaining 8 pipes be x minutes.

⇒ 10 pipes × 24 minutes = 8 pipes × x minutes

⇒ 10 × 24 = 8 × x

⇒ x = (10 × 24) / 8

⇒ x = 30 minutes

∴ The correct answer is option 1.

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