Pipe A can fill a tank in 771 minutes and Pipe B can fill the same tank in 1542 minutes. If both pipes are opened together, how many minutes will it take to fill the empty tank?

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  1. 510
  2. 514
  3. 518
  4. 522

Answer (Detailed Solution Below)

Option 2 : 514
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Detailed Solution

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Given:

Time taken by Pipe A to fill the tank = 771 minutes

Time taken by Pipe B to fill the tank = 1542 minutes

Formula Used:

Total Work = Time × Efficiency

Calculation:

Let the total capacity be LCM(771, 1542) = 1542 units

Efficiency of Pipe A = 1542/771 = 2

Efficiency of Pipe B = 1542/1542 = 1

Efficiency of Pipe A + Pipe B = 1542/771 = 2 + 1 = 3

Time taken to fill the tank = 1542/3 = 514 minutes

∴ It will take 514 minutes to fill the empty tank when both pipes are opened together.

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