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X men can complete a piece of work in 25 days. They started

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TheNightKing
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X men can complete a piece of work in 25 days. They started [#permalink] New post   12 Dec 2019, 09:13
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X men can complete a piece of work in 25 days. They started work together but after 8 days Y men left the work due to some reason and rest of work was completed by rest of men in 25 days. If total number of persons is not more than total number of initial days to complete the work. What can be the value of Y?

A. 5
B. 6
C. 8
D. 10
E. 12
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C
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nick1816
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Re: X men can complete a piece of work in 25 days. They started [#permalink] New post   12 Dec 2019, 20:01
Number of days taken to do certain work by X men= 25-8=17
Number of days taken to do the same work by (X-Y) men= 25

Efficiency(X men) : Efficiency(X-Y men)= 25:17

X:(X-Y)= 25:17


As total number of persons is not more than total number of initial days to complete the work, X must be 25.

Y= 25-17=8




TheNightKing wrote:
X men can complete a piece of work in 25 days. They started work together but after 8 days Y men left the work due to some reason and rest of work was completed by rest of men in 25 days. If total number of persons is not more than total number of initial days to complete the work. What can be the value of Y?

A. 5
B. 6
C. 8
D. 10
E. 12
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Re: X men can complete a piece of work in 25 days. They started [#permalink] New post   12 Dec 2019, 21:11
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TheNightKing wrote:
X men can complete a piece of work in 25 days. They started work together but after 8 days Y men left the work due to some reason and rest of work was completed by rest of men in 25 days. If total number of persons is not more than total number of initial days to complete the work. What can be the value of Y?

A. 5
B. 6
C. 8
D. 10
E. 12

Rate of X men = 1/25
Rate of each men = 1/25X

Using RT=W equation
Amount of work completed in first 8 days = 8/25
Work to be completed = 17/25

(X-Y) (1/25X) 25 = 17/25
8X = 25Y
X = (25/8) Y
Y can be 8

C is correct
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Re: X men can complete a piece of work in 25 days. They started [#permalink] New post   20 Dec 2019, 07:05
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This is in the distance/rate tag, but it should be in the work/rate tag :)
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Re: X men can complete a piece of work in 25 days. They started [#permalink] New post   20 Dec 2019, 07:08
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Franzhel wrote:
This is in the distance/rate tag, but it should be in the work/rate tag :)


Corrected the tag. Thank you.
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Re: X men can complete a piece of work in 25 days. They started [#permalink]
20 Dec 2019, 07:08
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