Time and Work: Test 1

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

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Time and Work Test 1: 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 40 days and B can do it in 60 days. In how many days will they finish it working together?
    1. 24 days
    2. 50 days
    3. 21 days
    4. 26 days

    Reference: q-8ef27f1a-119 · Report this question

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    Answer: A. 24 days

    One day's work together = 1/40 + 1/60 = 1/24. They finish in 24 days.
  2. 2. A and B together can finish a work in 5 days. A alone can finish it in 30 days. In how many days can B alone finish it?
    1. 10 days
    2. 25 days
    3. 2 days
    4. 6 days

    Reference: q-a9acf083-120 · Report this question

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    Answer: D. 6 days

    B's one day's work = 1/5 − 1/30 = 1/6. B alone takes 6 days.
  3. 3. A, B and C can complete a work in 18, 36 and 12 days respectively. In how many days will they complete it working together?
    1. 9 days
    2. 5 days
    3. 3 days
    4. 6 days

    Reference: q-23f675f3-124 · Report this question

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    Answer: D. 6 days

    One day's work together = 1/18 + 1/36 + 1/12 = 1/6. They take 6 days.
  4. 4. 6 men can complete a work in 24 days. In how many days can 16 men complete the same work?
    1. 3 days
    2. 64 days
    3. 9 days
    4. 15 days

    Reference: q-2a463450-90 · Report this question

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    Answer: C. 9 days

    Total work = 6 × 24 = 144 man-days. 16 men need 144 / 16 = 9 days.
  5. 5. A can do a work in 10 days and B in 30 days. A works alone for 5 days and then leaves. In how many days will B finish the remaining work?
    1. 21 days
    2. 15 days
    3. 25 days
    4. 17 days

    Reference: q-59c59a64-138 · Report this question

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    Answer: B. 15 days

    A completes 5/10 = 1/2 of the work. Remaining = 1/2. B needs 30 × 1/2 = 15 days.
  6. 6. A can do a piece of work in 20 days and B can do it in 5 days. In how many days will they finish it working together?
    1. 1 days
    2. 12.5 days
    3. 4 days
    4. 6 days

    Reference: q-81ffec53-118 · Report this question

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    Answer: C. 4 days

    One day's work together = 1/20 + 1/5 = 1/4. They finish in 4 days.
  7. 7. A and B together can finish a work in 12 days. A alone can finish it in 20 days. In how many days can B alone finish it?
    1. 30 days
    2. 8 days
    3. 33 days
    4. 36 days

    Reference: q-7c4d1774-121 · Report this question

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    Answer: A. 30 days

    B's one day's work = 1/12 − 1/20 = 1/30. B alone takes 30 days.
  8. 8. A, B and C can complete a work in 12, 20 and 30 days respectively. In how many days will they complete it working together?
    1. 3 days
    2. 5 days
    3. 4 days
    4. 6 days

    Reference: q-fea44b0c-124 · Report this question

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    Answer: D. 6 days

    One day's work together = 1/12 + 1/20 + 1/30 = 1/6. They take 6 days.
  9. 9. 15 men can complete a work in 8 days. In how many days can 4 men complete the same work?
    1. 31 days
    2. 30 days
    3. 2.13 days
    4. 28 days

    Reference: q-101a2ca3-89 · Report this question

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    Answer: B. 30 days

    Total work = 15 × 8 = 120 man-days. 4 men need 120 / 4 = 30 days.
  10. 10. A can do a work in 30 days and B in 12 days. A works alone for 10 days and then leaves. In how many days will B finish the remaining work?
    1. 4 days
    2. 12 days
    3. 2 days
    4. 8 days

    Reference: q-93497f0e-139 · Report this question

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    Answer: D. 8 days

    A completes 10/30 = 1/3 of the work. Remaining = 2/3. B needs 12 × 2/3 = 8 days.

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