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  • Question
  • A can do a piece of work in 10 days, B in 15 days. They work together for 5 days, the rest of the work is finished by C in two more days. If they get Rs. 3000 as wages for the whole work, what are the daily wages of A, B and C respectively (in Rs):


  • Options
  • A. 200, 250, 300
  • B. 300, 200, 250
  • C. 200, 300, 400
  • D. None of these

  • Correct Answer
  • 300, 200, 250 

    Explanation

    A's 5 days work = 50%  

    B's 5 days work = 33.33% 

    C's 2 days work = 16.66%     [100- (50+33.33)] 

    Ratio of contribution of work of A, B and C =  50   :   33 1 3   :   16 2 3  = 3 : 2 : 1   

    A's total share = Rs. 1500 

    B's total share = Rs. 1000 

    C's total share = Rs. 500  

     

    A's one day's earning = Rs.300  

    B's one day's earning = Rs.200  

    C's one day's earning = Rs.250

  • Tags: CAT, Bank Exams, AIEEE, Bank PO, Bank Clerk

    Time and Work problems


    Search Results


    • 1. B starts 4 minutes after A from the same point, for a place at a distance of 7 miles from the starting point. A on reaching the destination turns back and walks a mile where he meets B. If A's speed is a mile in 8 minutes then B's speed is a mile in ____ minutes.

    • Options
    • A. 9
    • B. 12
    • C. 10
    • D. 8
    • Discuss
    • 2. Two cars A and B travel from one city to another, at speeds of 72 km/hr and 90 km/hr respectively. If car B takes 1 hour lesser than car A for the journey, then what is the distance (in km) between the two cities?

    • Options
    • A. 270
    • B. 360
    • C. 240
    • D. 400
    • Discuss
    • 3. A racing car going at an average speed of 108 km/hr takes 15 minutes to complete a lap on a racing track. By how much should it increase its speed (inkm/hr) to complete the lap in 12 minutes?

    • Options
    • A. 24
    • B. 21
    • C. 27
    • D. 30
    • Discuss
    • 4. 3 hrs after a goods train passed a station, another train travelling at a speed of 88 km/hr following that goods train passed through that station. If after passing the station the train overtakes the goods train in 8 hours. What is the speed of the goods train?

    • Options
    • A. 76.8 km/hr
    • B. 64 km/hr
    • C. 96 km/hr
    • D. 51.2 km/hr
    • Discuss
    • 5. Two cars travel from city A to city B at a speed of 30 and 45 km/hr respectively. If one car takes 2.5 hours lesser time than the other car for the journey, then the distance between City A and City B is:

    • Options
    • A. 270 km
    • B. 338 km
    • C. 180 km
    • D. 225 km
    • Discuss
    • 6. A, B and C can do a piece of work in 24 days, 30 days and 40 days respectively. They began the work together but C left 4 days before the completion of the work. In how many days was the work completed?

    • Options
    • A. 11 days
    • B. 12 days
    • C. 13 days
    • D. 14 days
    • Discuss
    • 7. 12 men can complete a work in 8 days. 16 women can complete the same work in 12 days. 8 men and 8 women started working and worked for 6 days. How many more men are to be added to complete the remaining work in 1 day?

    • Options
    • A. 8
    • B. 12
    • C. 16
    • D. 24
    • Discuss
    • 8. P can complete a work in 12 days working 8 hours a day.Q can complete the same work in 8 days working 10 hours a day. If both p and Q work together,working 8 hours a day,in how many days can they complete the work?

    • Options
    • A. 60/11
    • B. 61/11
    • C. 71/11
    • D. 72/11
    • Discuss
    • 9. A and B can do a piece of work in 30 days , while B and C can do the same work in 24 days and C and A in 20 days . They all work together for 10 days when B and C leave. How many days more will A take to finish the work?

    • Options
    • A. 18 days
    • B. 24 days
    • C. 30 days
    • D. 36 days
    • Discuss
    • 10. A can do a certain work in the same time in which B and C together can do it.If A and B together could do it in 20 days and C alone in 60 days ,then B alone could do it in:

    • Options
    • A. 20days
    • B. 40 days
    • C. 50 days
    • D. 60 days
    • Discuss


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