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Home Aptitude Time and Work Comments

  • Question
  • Two typists of varying skills can do a typing jobin6 minutesifthey work together.Ifthe first typist typed alone for 4 minutes and then the second typist typed alone for 6 minutes, they would be left with 1/5 of the whole work.Howmany minutes would it take the slower typist to complete the typing job working alone?


  • Options
  • A. 10 minutes
  • B. 15 minutes
  • C. 12 minutes
  • D. 20 minutes

  • Correct Answer
  • 15 minutes 

    Explanation

    Working efficiency of both typist together = 100/6 = 16.66%

    Let the efficiency of first typist be x and second typist be (16.66 ?x)

    First typist for 4 minute + second tyoistfor 6 minute = 80% work

    ?4x + (16.66 ?x) X 6 = 80%

    ?4x + 100% -6x = 80%,

    ?x = 10%

    First typist typed 10% per minute, second typst typed (16.66 ?10) = 6.66% per minute

    Slowest is second typist complete whole job in 100/6.66 = 15.01 = 15 minute

  • Tags: Bank Exams

    Time and Work problems


    Search Results


    • 1. 48 people could complete a task in 17 days. After 6 days, 4 of the workers left. How many days from then will it take to complete the task?

    • Options
    • A. 12
    • B. 13
    • C. 15
    • D. 16
    • Discuss
    • 2. 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
    • 3. 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
    • 4. 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
    • 5. 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
    • 6. X can do a piece of work in 'p' days and Y can do the same work in 'q' days . Then the number of days in which X and Y can together do that work is

    • Options
    • A. p+q2
    • B. 1p+1q
    • C. pqp+q
    • D. Pq
    • Discuss
    • 7. A piece of work was finished by A, B and C together. A and B together finished 60% of the work and B and C together finished 70% of the work. Who among the three is most efficient?

    • Options
    • A. A
    • B. B
    • C. C
    • D. None
    • Discuss
    • 8. If Data Interpretation and Modern Maths were taught for a combined time of 96 hours, then for how much time (in hours) were Number system and Geometry taught?

    • Options
    • A. 136
    • B. 184
    • C. 216
    • D. 232
    • Discuss
    • 9. One tap can fill a water tank in 50 mins and another tap can make the filled tank empty in 75 mins. If both the taps are open together, already half filled tank would be full in

    • Options
    • A. 60 min
    • B. 75 min
    • C. 125 min
    • D. 150 min
    • Discuss
    • 10. A can do a work in 8 days, B can do the same work in 10 days and C can do the same work in 12 days. If all three of them do the same work together and they are paid Rs 7400, then what is the share (in Rs) of B?

    • Options
    • A. 2600
    • B. 3000
    • C. 2400
    • D. 2000
    • Discuss


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