Pipes and Cisterns: Test 2

10 questions · 15 minutes · scoring and calculator rules shown before you begin

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Pipes and Cisterns Test 2: questions and answers

Take the test first if you want an honest score. The answers and solutions below are folded away until you open them.

  1. 1. A pipe fills a tank in 6 hours. What fraction of the tank does it fill in one hour?
    1. 6
    2. 1/7
    3. 1/6
    4. 1/3

    Reference: q-353ebd2e-84 · Report this question

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    Answer: C. 1/6

    One hour's work = 1/6 of the tank.
  2. 2. Two pipes fill a tank separately in 9 and 5 hours. How long together?
    1. 3.21
    2. 1.71
    3. 4.71
    4. 3.71

    Reference: q-812bfbce-70 · Report this question

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    Answer: A. 3.21

    Combined rate = 1/9 + 1/5; time = 9×5/(9+5) = 3.21 hours.
  3. 3. A pipe fills a tank in 10 hours and an outlet empties it in 11 hours. How long together?
    1. 110
    2. 110.5
    3. 109.5
    4. 111.5

    Reference: q-d22fcb8e-89 · Report this question

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    Answer: A. 110

    Net rate = 1/10 − 1/11; time = 110 hours.
  4. 4. A pipe fills 3 litres per minute. How much water does it deliver in 7 minutes?
    1. 21
    2. 17
    3. 15
    4. 19

    Reference: q-9f6ce3de-79 · Report this question

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    Answer: A. 21

    Volume = rate × time = 3 × 7 = 21 litres.
  5. 5. A pipe fills 4/5 of a tank in 3 hours. How many hours will it take to fill the whole tank?
    1. 4.25
    2. 3.75
    3. 2.75
    4. 2.25

    Reference: q-2f3f0b52-91 · Report this question

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    Answer: B. 3.75

    Full time = 3 × 5/4 = 3.75 hours.
  6. 6. A pipe fills a tank in 6 hours. What fraction of the tank does it fill in one hour? (Practice set 2, question 6)
    1. 1/6
    2. 6
    3. 1/7
    4. 1/3

    Reference: q-1bdb0962-113 · Report this question

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    Answer: A. 1/6

    One hour's work = 1/6 of the tank.
  7. 7. Two pipes fill a tank separately in 9 and 9 hours. How long together?
    1. 4.5
    2. 5
    3. 5.5
    4. 3.5

    Reference: q-441e9522-70 · Report this question

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    Answer: A. 4.5

    Combined rate = 1/9 + 1/9; time = 9×9/(9+9) = 4.5 hours.
  8. 8. A pipe fills a tank in 8 hours and an outlet empties it in 13 hours. How long together?
    1. 19.8
    2. 20.8
    3. 21.8
    4. 20.3

    Reference: q-d91a99b3-88 · Report this question

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    Answer: B. 20.8

    Net rate = 1/8 − 1/13; time = 20.8 hours.
  9. 9. A pipe fills 5 litres per minute. How much water does it deliver in 5 minutes?
    1. 23
    2. 31
    3. 25
    4. 19

    Reference: q-462c697a-79 · Report this question

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    Answer: C. 25

    Volume = rate × time = 5 × 5 = 25 litres.
  10. 10. A pipe fills 2/6 of a tank in 3 hours. How many hours will it take to fill the whole tank?
    1. 8.5
    2. 9
    3. 10
    4. 10.5

    Reference: q-cb8557b5-91 · Report this question

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    Answer: B. 9

    Full time = 3 × 6/2 = 9 hours.

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