Multiple choice

One fill pipe ‘A’ is 3 times faster than second fill pipe ‘B’ and takes 32 minutes less than the fill pipe ‘B’. When will the cistern be full if both pipes are opened together?

  1. 8 minute

  2. 12 minute

  3. 6 minute

  4. 16 minute

  5. None of these
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let B's time = x minutes. A is 3× faster, so A's time = x/3 minutes. Given x - x/3 = 32, so 2x/3 = 32, giving x = 48 minutes for B alone. A alone takes 48/3 = 16 minutes. Together: 1/16 + 1/48 = 3/48 + 1/48 = 4/48 = 1/12, so they fill the cistern in 12 minutes. Answer B is correct.

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