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  • Question
  • 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

  • Correct Answer
  • 37½ 

    Explanation

    Whole work is done by A in 20 x 5 = 25 days.
    4

    Now, 1 - 4 i.e., 1 work is done by A and B in 3 days.
    5 5

    Whole work will be done by A and B in (3 x 5) = 15 days.

    A's 1 day's work = 1 , (A + B)'s 1 day's work = 1 .
    25 15

    ∴ B's 1 day's work = 1 - 1 = 4 = 2 .
    15 25 150 75

    So, B alone would do the work in 75 = 37 1 days.
    2 2


    More questions

    • 1. 
      Two pipes can fill a tank in 20 and 24 min, respectively and a waste pipe can empty 6 gallon per min. All the three pipes working together can fill the tank in 15 min. Find the capacity of the tank.

    • Options
    • A. 210 gallon
    • B. 50 gallon
    • C. 150 gallon
    • D. 240 gallon
    • Discuss
    • 2. 
      Two taps A and B can fill a tank in 20 min and 30 min, respectively. An outlet pipe C can empty the full tank in 15 min. A, B and C are opened alternatively, each for 1 min. How long will the tank take to be filled?

    • Options
    • A. 105 min
    • B. 120 min
    • C. 167 min
    • D. 185 min
    • Discuss
    • 3. 
      Three taps A, B and C together can fill an empty cistern in 10 min . The tap A alone can fill it in 30 min and the tap B alone can fill it in 40 min. How long will the tap C alone take to fill it?

    • Options
    • A. 16 min
    • B. 24 min
    • C. 32 min
    • D. 40 min
    • Discuss
    • 4. 
      Ramesh invested an amount that is 10% of ? 10000 at simple interest. After 3 yr, the amount becomes ? 2500. Find out the 4 times of actual interest rate.

    • Options
    • A. 5000%
    • B. 250%
    • C. 200%
    • D. 600%
    • Discuss
    • 5. 
      The principle on which a simple interest of ? 55 will be obtained after 9 months at the rate of 3 2/ 3% per annum is

    • Options
    • A. 1000
    • B. 1500
    • C. 2000
    • D. 2500
    • Discuss
    • 6. 
      A and B aim a target. The Probability that A hits the target is 5/7 and B hits the target in 7/10. What is the probability that exactly one of them hits the target?

    • Options
    • A. 21/10
    • B. 29/70
    • C. 31/70
    • D. 33/70
    • Discuss
    • 7. 
      40 men can build a wall 200 m long in 12 days, working 8h a day. What will be the number of days that 30 men will take to built a similar wall 300 m long, working 6h per days.

    • Options
    • A. 32
    • B. 18
    • C. 36
    • D. 9
    • Discuss
    • 8. 
      Ram finishes a work in 7 days. Rahim finish the same job in 8 days and Robert in 6 days. They take turns to finish the work. Ram worked on the first day, Rahim on the second day and Robert on the third and then again Ram and so on. Who was working on the last day when work got finished?

    • Options
    • A. Ram
    • B. Rahim
    • C. Robert
    • D. Rahim and Robert
    • Discuss
    • 9. 
      If 12 man or 18 women can do piece of work in 14 days. How long will 8 men and 16 women take to finish the work?

    • Options
    • A. 9 days
    • B. 12 days
    • C. 13 days
    • D. 10 days
    • Discuss
    • 10. 
      Rashim lent ? 600 to Geeta for 2 yr and ? 150 to Seeta 4 yr and received altogether ? 80 as simple interest from both. Find the rate of interest.

    • Options
    • A. 34/9%
    • B. 24/9%
    • C. 54/9%
    • D. 44/9%
    • Discuss


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