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Pipes cisterns, Work time Sample Question

The given question is a work time question and tests your ability to relate to the relation between the number of days it takes two people to do a task to their efficiency of completing the task.

Question 1

Ram completes 60% of a task in 15 days and then takes the help of Rahim and Rachel. Rahim is 50% as efficient as Ram is and Rachel is 50% as efficient as Rahim is. In how many more days will they complete the work?
  1. 13 1/3

  2. 8 1/3

  3. 5 5/7

  4. 7 5/7

  5. None of these
Correct choice is (3). Correct Answer is 5 5/7


Explanatory Answer

Ram completes 60% of the task in 15 days.
i.e., he completes 4% of the task in a day.

Rahim is 50% as efficient as Ram is.
Therefore, Rahim will complete 2% of the task in a day.

Rachel is 50% as efficient as Rahim is
Therefore, Rachel will complete 1% of the task in a day.

Together, Ram, Rahim and Rachel will complete 4 + 2 + 1 = 7% of the work in a day.
They have another 40% of the task to be completed.
Therefore, they will take 40/7 more days to complete the task.




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