Time and Work: Test 2

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

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Time and Work 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 can do a piece of work in 36 days and B can do it in 18 days. In how many days will they finish it working together?
    1. 27 days
    2. 15 days
    3. 14 days
    4. 12 days

    Reference: q-68130ca6-119 · Report this question

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    Answer: D. 12 days

    One day's work together = 1/36 + 1/18 = 1/12. They finish in 12 days.
  2. 2. A and B together can finish a work in 12 days. A alone can finish it in 36 days. In how many days can B alone finish it?
    1. 22 days
    2. 24 days
    3. 16 days
    4. 18 days

    Reference: q-d81cd2d3-121 · Report this question

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    Answer: D. 18 days

    B's one day's work = 1/12 − 1/36 = 1/18. B alone takes 18 days.
  3. 3. A, B and C can complete a work in 15, 30 and 10 days respectively. In how many days will they complete it working together?
    1. 5 days
    2. 4 days
    3. 6 days
    4. 3 days

    Reference: q-b0e6e04a-124 · Report this question

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    Answer: A. 5 days

    One day's work together = 1/15 + 1/30 + 1/10 = 1/5. They take 5 days.
  4. 4. 8 men can complete a work in 18 days. In how many days can 9 men complete the same work?
    1. 16 days
    2. 20.25 days
    3. 18 days
    4. 10 days

    Reference: q-17278ff1-89 · Report this question

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    Answer: A. 16 days

    Total work = 8 × 18 = 144 man-days. 9 men need 144 / 9 = 16 days.
  5. 5. A can do a work in 30 days and B in 18 days. A works alone for 10 days and then leaves. In how many days will B finish the remaining work?
    1. 14 days
    2. 12 days
    3. 15 days
    4. 8 days

    Reference: q-b30638fc-139 · Report this question

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    Answer: B. 12 days

    A completes 10/30 = 1/3 of the work. Remaining = 2/3. B needs 18 × 2/3 = 12 days.
  6. 6. A can do a piece of work in 30 days and B can do it in 45 days. In how many days will they finish it working together?
    1. 16 days
    2. 18 days
    3. 37.5 days
    4. 19 days

    Reference: q-c322c25a-119 · Report this question

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    Answer: B. 18 days

    One day's work together = 1/30 + 1/45 = 1/18. They finish in 18 days.
  7. 7. A and B together can finish a work in 9 days. A alone can finish it in 12 days. In how many days can B alone finish it?
    1. 39 days
    2. 42 days
    3. 3 days
    4. 36 days

    Reference: q-adb22507-120 · Report this question

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    Answer: D. 36 days

    B's one day's work = 1/9 − 1/12 = 1/36. B alone takes 36 days.
  8. 8. A, B and C can complete a work in 9, 18 and 6 days respectively. In how many days will they complete it working together?
    1. 3 days
    2. 2 days
    3. 1 days
    4. 6 days

    Reference: q-76879c8e-122 · Report this question

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    Answer: A. 3 days

    One day's work together = 1/9 + 1/18 + 1/6 = 1/3. They take 3 days.
  9. 9. 10 men can complete a work in 6 days. In how many days can 4 men complete the same work?
    1. 13 days
    2. 2.4 days
    3. 15 days
    4. 11 days

    Reference: q-28b2d38e-89 · Report this question

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    Answer: C. 15 days

    Total work = 10 × 6 = 60 man-days. 4 men need 60 / 4 = 15 days.
  10. 10. A can do a work in 12 days and B in 60 days. A works alone for 4 days and then leaves. In how many days will B finish the remaining work?
    1. 38 days
    2. 40 days
    3. 56 days
    4. 34 days

    Reference: q-8264480-138 · Report this question

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    Answer: B. 40 days

    A completes 4/12 = 1/3 of the work. Remaining = 2/3. B needs 60 × 2/3 = 40 days.

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