Time and Work
Aptitude

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Q.

Ram, who is half as efficient as Krish, will take 24 days to complete a work if he worked alone. If Ram and Krish worked together, how many days will they take to complete the work?

 A.

16

 B.

12

 C.

8

 D.

18

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Solution:
Option(C) is correct

Ram takes 24 days to complete the work, if he works alone.

As Krish is twice as efficient as Ram is, Krish will take half the time to complete the work when Krish works alone, i.e., in 12 days.

Ram completes \(\left(\dfrac{1}{24}\right)^{th}\) of the work in a day.

Krish completes \(\left(\dfrac{1}{12}\right)^{th}\) of the work in a day.

When they work together, they will complete \(\dfrac{1}{24}+\dfrac{1}{12}=\dfrac{1}{8}\) work in a day.

Therefore, when they work together they will complete the work in 8 days.


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