An inlet pipe can fill an empty tank in 120 hours while an outlet pipe drains a completely-filled tank in 54 hours. If 8 inlet pipes and 3 outlet pipes are opened simultaneously, when the tank is empty, then in how many hours will the tank get completely filled?

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SSC CGL 2023 Tier-I Official Paper (Held On: 20 Jul 2023 Shift 1)
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  1. 81
  2. 96
  3. 72
  4. 90

Answer (Detailed Solution Below)

Option 4 : 90
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SSC CGL Tier 1 2025 Full Test - 01
100 Qs. 200 Marks 60 Mins

Detailed Solution

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Given:- 

An inlet pipe can fill an empty tank in 120 hours  

Formula Used:-

The total capacity of the tank (Work) = Efficiency × Time

Calculation:- 
 

  Time Efficiency Total work
inlet pipe 120 9 1080
outlet pipe 54 20

According to the question, 

8 inlet pipes and 3 outlet pipes are opened simultaneously 

⇒ work done 1 hours = 8 × 9 - 20 × 3 

⇒ 72 - 60 = 12

SO,

Time = 1080/12 = 90  

∴ The required answer is 90.

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