The following question, there are three statements I, II and III. Read the question carefully and mark your answer according to which statements(s) is/are sufficient to the answer the question. In how much time can three pipes P1, P2 and P3 together fill an empty tank which has a leak at the bottom Statement I: Pipe P1 and P2can fill the tank completely in 30 minutes with the leak Statement II: Pipe P3 alone can fill the tank completely in 110 minutes if there is no leak at the bottom Statement III: When there is no leak at the bottom of the tank, the ratio of the time taken by all the three pipes P1, P2, P3 is 2 : 2 : 3?

Only I
Only II
Only III
All I, II and III
None of these

LohaHridoy

4 views

2025-01-04 04:42

1 Answers

AhmedNazir

Option 3 : Only III

Let the capacity of the tank = 330 litres

From statement I:

Capacity filled by pipes P₁ and P₂ with leak = 330/30 = 11 litres/min

From statement II

Capacity of P₃ = 330/110 = 3 litres/min

From statement III:

P₁ : P₂ : P₃ = 2 : 2 : 3

Since from statement II:

Capacity of P₃ = 3

Suppose 3 units = 3 liters

So, 1 unit = 1 liter

Hence capacity of P₁ = 2 liters/min

Capacity of P₂ = 2 liters/min

Capacity of P₁ and P₂ can be calculated by statement III only.

Total time taken = (330/2 + 2 + 3) = (330/7) mins

4 views Answered 2022-09-04 04:29

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