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Ram, who is half as efficient as Krish, will take 24 days to complete

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Bunuel
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Ram, who is half as efficient as Krish, will take 24 days to complete [#permalink] New post   14 Feb 2016, 05:28
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Ram, who is half as efficient as Krish, will take 24 days to complete a task if he worked alone. If Ram and Krish worked together, how long will they take to complete the task?

A. 16 days
B. 12 days
C. 8 days
D. 6 days
E. 18 days
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C
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Re: Ram, who is half as efficient as Krish, will take 24 days to complete [#permalink] New post   14 Feb 2016, 11:36
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Number of days taken by Ram to complete task = 24
Since Ram is half as efficient as Krish , Amount of work done by Krish in 1 day = Amount of work done by Ram in 2 days
If total work done by Ram in 24 days is 24w
Amount of work done by Ram in 1 day = w
Amount of work done by Krish in 1 day = 2w
Total amount of work done by Krish and Ram in a day = 3w
Total amount of time needed by Krish and Ram to complete task = 24w/3w = 8 days
Answer C
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Re: Ram, who is half as efficient as Krish, will take 24 days to complete [#permalink] New post   14 Feb 2016, 11:52
Ram, who is half as efficient as Krish, will take 24 days to complete a task if he worked alone. If Ram and Krish worked together, how long will they take to complete the task?

A. 16 days
B. 12 days
C. 8 days
D. 6 days
E. 18 days

W=RT

Rate of Ram = 1/24
Ram is half as efficient as Krish
So Rate of Krish = 1/12
Working together = 1/12 +1/24 = 2+1/24 = 1/8
Hence they will take take 8 days working together. Hence C is the answer.
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Re: Ram, who is half as efficient as Krish, will take 24 days to complete [#permalink] New post   11 Sep 2020, 01:16
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Bunuel wrote:
Ram, who is half as efficient as Krish, will take 24 days to complete a task if he worked alone. If Ram and Krish worked together, how long will they take to complete the task?

A. 16 days
B. 12 days
C. 8 days
D. 6 days
E. 18 days


Let time taken by Krish be 12 days
So, Time taken by Ram will be 24 days

Let total work be 24

Thus, individual efficiencies of Ram and Krish are 1 unit/day & 2 Units / day

SO, Time taken to complete the work togather will be 24/3 = 8 days, Answer msut be (C)
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Re: Ram, who is half as efficient as Krish, will take 24 days to complete [#permalink] New post   14 Sep 2020, 05:19
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Bunuel wrote:
Ram, who is half as efficient as Krish, will take 24 days to complete a task if he worked alone. If Ram and Krish worked together, how long will they take to complete the task?

A. 16 days
B. 12 days
C. 8 days
D. 6 days
E. 18 days

Solution:

We see that Ram’s rate is 1/24, and since Krish is twice as efficient as Ram, Krish’s rate is 1/12. Therefore, their combined rate is 1/24 + 1/12 = 3/24 = 1/8. Since rate is the inverse of time, it will take them 1/(1/8) = 8 days to complete the task when they are working together.

Answer: C
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Re: Ram, who is half as efficient as Krish, will take 24 days to complete [#permalink]
14 Sep 2020, 05:19
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