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Home Aptitude Time and Work Comments

  • Question
  • A, B and C can complete a piece of work in 24, 6 and 12 days respectively. Working together, they will complete the same work in:


  • Options
  • A.
    1 day
    24
  • B.
    7 day
    24
  • C.
    3 3 days
    7
  • D. 4 days

  • Correct Answer
  • 3 3 days
    7
     

    Explanation
    Formula: If A can do a piece of work in n days, then A's 1 day's work = 1 .
    n

    (A + B + C)'s 1 day's work = 1 + 1 + 1 = 7 .
    24 6 12 24

    Formula: If A's 1 day's work = 1 , then A can finish the work in n days.
    n

    So, all the three together will complete the job in 24 ❩ days = 3 3 days.
    7 7


    Time and Work problems


    Search Results


    • 1. A and B together can do a piece of work in 30 days. A having worked for 16 days, B finishes the remaining work alone in 44 days. In how many days shall B finish the whole work alone?

    • Options
    • A. 30 days
    • B. 40 days
    • C. 60 days
    • D. 70 days
    • Discuss
    • 2. A can finish a work in 18 days and B can do the same work in 15 days. B worked for 10 days and left the job. In how many days, A alone can finish the remaining work?

    • Options
    • A. 5
    • B.

      5 1
      2

    • C. 6
    • D. 8
    • Discuss
    • 3. Sakshi can do a piece of work in 20 days. Tanya is 25% more efficient than Sakshi. The number of days taken by Tanya to do the same piece of work is:

    • Options
    • A. 15
    • B. 16
    • C. 18
    • D. 25
    • Discuss
    • 4. If 6 men and 8 boys can do a piece of work in 10 days while 26 men and 48 boys can do the same in 2 days, the time taken by 15 men and 20 boys in doing the same type of work will be:

    • Options
    • A. 4 days
    • B. 5 days
    • C. 6 days
    • D. 7 days
    • Discuss
    • 5. A takes twice as much time as B or thrice as much time as C to finish a piece of work. Working together, they can finish the work in 2 days. B can do the work alone in:

    • Options
    • A. 4 days
    • B. 6 days
    • C. 8 days
    • D. 12 days
    • Discuss
    • 6. A can finish a work in 24 days, B in 9 days and C in 12 days. B and C start the work but are forced to leave after 3 days. The remaining work was done by A in:

    • Options
    • A. 5 days
    • B. 6 days
    • C. 10 days
    • D.
      10 1 days
      2
    • Discuss
    • 7. A can do a piece of work in 4 hours; B and C together can do it in 3 hours, while A and C together can do it in 2 hours. How long will B alone take to do it?

    • Options
    • A. 8 hours
    • B. 10 hours
    • C. 12 hours
    • D. 24 hours
    • Discuss
    • 8. A does 80% of a work in 20 days. He then calls in B and they together finish the remaining work in 3 days. How long B alone would take to do the whole work?

    • Options
    • A. 23 days
    • B. 37 days
    • C. 37½
    • D. 40 days
    • Discuss
    • 9. A is 30% more efficient than B. How much time will they, working together, take to complete a job which A alone could have done in 23 days?

    • Options
    • A. 11 days
    • B. 13 days
    • C.

      20 3 days
      17

    • D. None of these
    • Discuss
    • 10. A and B can together finish a work 30 days. They worked together for 20 days and then B left. After another 20 days, A finished the remaining work. In how many days A alone can finish the work?

    • Options
    • A. 40
    • B. 50
    • C. 54
    • D. 60
    • Discuss


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