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Home Aptitude Time and Work Comments

  • Question
  • A alone can do a work in 20 days. B is 125% more efficient than A. A and B started working and worked for 4 days. If C alone completed the remaining job in 22 days. How many days C alone takes to complete the entire job?


  • Options
  • A. 30
  • B. 35
  • C. 40
  • D. 42

  • Correct Answer
  • 40 

    Explanation
    A alone can do = 20days 
     
    Efficiency ratio of A & B= 4 : 5

    Time required will be in ratio = 5:4

    B alone will do it in =16 days

    LCM of (16,20)= 80 ,
     
    Assume work size of 80 units

     

    1 day work of A= 4 units 1 day work of B= 5 units

     

    Work done by both in 4 days= 4*(5+4)= 36 units

     

    Work left= 80-36= 44 units

     

    Now C takes 22 days to complete= 44 units.

     

    Time taken by C alone to complete the work= 40 days
  • Tags: Bank Exams

    Time and Work problems


    Search Results


    • 1. If two flood gates A and B function simultaneously, the reservoir will be filled iu 6 hours. Gate A fills the reservoir 5 hours faster than gate B. How many hours does the faster flood gate take to fill the reservoir?

    • Options
    • A. 7 hrs
    • B. 13 hrs
    • C. 5 hrs
    • D. 10 hrs
    • Discuss
    • 2. X can complete a task in 8 days, whereas Y can complete the same task in 10 days. If they work together, in how many days will the task be completed?

    • Options
    • A. 40/9
    • B. 9/40
    • C. 44/9
    • D. 9/44
    • Discuss
    • 3. Rohan and Mohit together can build a wall in 8 days. Mohit and Vikas build the same wall in 10 days and Vikas and Rohan can build the same wall in 12days. In how many days can all the three complete the same wall while working together?

    • Options
    • A. 240/37
    • B. 120/37
    • C. 150/37
    • D. 180/37
    • Discuss
    • 4. Painter A can paint a house in 40 days and Painter B can do it in 60 days. With help of C, they did the job in 20 days only. Then, C alone can do the job in

    • Options
    • A. 120 days
    • B. 100 days
    • C. 90 days
    • D. 80 days
    • Discuss
    • 5. A can do 1/2 of a piece of work in 8 days while B can do1/3of the same work in 8 days. In how many days can both do it together?

    • Options
    • A. 9.6 days
    • B. 10.5 days
    • C. 11.2 days
    • D. 16 days
    • Discuss
    • 6. A is 50% more efficient than B. They together start the work and 7/12th of work is left after 8 days. Find in what time B alone will complete the whole work.

    • Options
    • A. 36 days
    • B. 44 days
    • C. 50 days
    • D. 40 days
    • Discuss
    • 7. Type 1 workers can do three times the work of Type 2 workers. Twelve Type 1 workers can complete a task in 10 days. How many days would it have taken 4 Type 1 and 8 Type 2 workers to complete the same task?

    • Options
    • A. 16
    • B. 17
    • C. 20
    • D. 18
    • Discuss
    • 8. A can do a work in 24 days. B is 20% more efficient than A. If C can do the work in 10 more days than B, find the time taken by A and C together to complete the work.

    • Options
    • A. 43/3 days
    • B. 40/3 days
    • C. 50/3 days
    • D. 41/2 days
    • Discuss
    • 9. Prabhat has done 1/2 of a job in 12 days. Santosh completes the rest of the job in 6 days. In how many days can they together do the job?

    • Options
    • A. 12 days
    • B. 4 days
    • C. 8 days
    • D. 16 days
    • Discuss
    • 10. A takes 24 day in completing a work alone. Time taken by A in completing 1/3rd of the work is equal to the time taken by B in completing half of the work. How many days will be taken in completing the work if both A & B start working together?

    • Options
    • A. 21/3 days
    • B. 48 days
    • C. 40 days
    • D. 48/5 days
    • Discuss


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