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WBCS Main Examination 2023 — Paper VI: Arithmetic and Test of Reasoning · Question 148 of 200

Q148
ArithmeticTime & Work, Pipes & Cisterns
Two pipes A and B can fill a cistern in 60 minutes and 48 minutes respectively. Both pipes are opened together. The cistern will be filled in half an hour, if the pipe B is turned off after:
  1. a.6 minutes
  2. b.18 minutes
  3. c.20 minutes
  4. d.24 minutes

Answer: (D) 24 minutes

In 30 minutes A fills $\frac{30}{60} = \frac{1}{2}$ of the cistern, so B must fill the other half. B fills half in $\frac{48}{2} = 24$ minutes, so B is turned off after 24 minutes.

Two pipes A and B can fill a cistern in 60 minutes and 48 minutes r… — WBCS Main Examination 2023 Q148 | Prostuti360°