PYQ Vault

Several identical inlets and outlets open together

This type of question, asked 3 times: 14 Jul 2023 S3, 20 Jul 2023 S1, 26 Jul 2023 S2. All 3 questions below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    14 Jul 2023 S3

    74
    An inlet pipe can fill an empty tank in 140 hours while an outlet pipe drains a completely-filled tank in 63 hours. If 8 inlet pipes and y outlet pipes are opened simultaneously, when the tank is empty, then the tank gets completely filled in 105 hours. Find the value of y.

    Tap an option to check your answer.

  2. Question 2

    20 Jul 2023 S1

    53
    An inlet pipe can fill an empty tank in 120 hours while an outlet pipe drains a completely-filled tank in 54 hours. If 8 inlet pipes and 3 outlet pipes are opened simultaneously, when the tank is empty, then in how many hours will the tank get completely filled?

    Tap an option to check your answer.

  3. Question 3

    26 Jul 2023 S2

    67
    Each inlet pipe can fill an empty cistern in 84 hours while each drain pipe can empty the same cistern from a filled condition in 105 hours. When the cistern is empty, 9 inlet pipes and 10 outlet pipes are simultaneously opened. After how many hours will the cistern be completely filled?

    Tap an option to check your answer.