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Both tap M and tap N together can fill a tank in 20/3 hours. If tap M opens for only 4 hours and the remaining tank is filled by tap N for only 9 hours. How many hours to fill the tank by tap N?

  1. 10 hours
  2. 12.5 hours
  3. 25 hours 
  4. 10.5 hours 

Answer (Detailed Solution Below)

Option 2 : 12.5 hours
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Detailed Solution

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Calculation:

According to question

⇒ (M + N) × 20/3 = 4M + 9N

⇒ 20M + 20N = 12M + 27N

⇒ 8M = 7N

⇒ M/N = 7/8

To fill the complete tank by tap N = (4M + 9N)/efficiency of N

To fill the complete tank by tap N = (4 × 7 + 9 × 8)/8 = 100/8 = 25/2

∴ To fill the complete tank by tap N is 12.5 hours 

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Last updated on Jul 2, 2025

-> The SSC CGL Notification 2025 has been released on 9th June 2025 on the official website at ssc.gov.in.

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->  Aspirants should visit ssc.gov.in 2025 regularly for updates and ensure timely submission of the CGL exam form.

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