Multiple choice

The ratio of the rate of filling of two pipes X and Y is 2:1,respectively. If together they can fill 4/5th of tank in 16minutes, then find the time taken by pipe X alone to fill thetank completely.

  1. 30 minutes

  2. 20 minutes

  3. 36 minutes

  4. 25 minutes

  5. None of these
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A Correct answer
Explanation

Let rates be 2r and r. Combined rate = 3r. 3r * 16 = 4/5 * Tank. So, 48r = 0.8 * Tank, meaning 1 Tank = 60r. Pipe X rate = 2r. Time for X = 60r / 2r = 30 minutes.

AI explanation

Using the combined work formula, the time for both pipes to fill the full tank is 16 multiplied by 5 over 4, which equals 20 minutes. The ratio of their filling rates is 2:1, so pipe X does two-thirds of the work and pipe Y does one-third. Since two-thirds of the tank is filled in 20 minutes, the time for pipe X alone to fill the complete tank is 20 multiplied by 3 over 2, resulting in 30 minutes.

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