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20 men can do a piece of work in 24 days. After working for 6 days x...
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Let us say the amount of work done by one man per day is P.
So the amount of work to do `= 20xxPxx24 = 480P`
Work done in six days `= 20xxPxx6 = 120P`
Amount of work left `= 480P-120P = 360P`
If the work to be done in 21 days then we have (21-6) = 15 days left to do the work with additional men.
Let us say we have x number of additional men.
So the amount of men in the team is (20+x). They need to do 360P work in 15 days.
`360P = (20+x)xxPxx15`
`24 = 20+x`
`x = 4`
So we need 4 additional men to complete the work in 21 days.
Posted by jeew-m on May 18, 2013 at 7:01 AM (Answer #1)
20 men can do a piece of work in 24 days.
So 1 man can do work in 24 x20 days
= 480 days
In 1 day , 1 man can do work =1/480
In 6 days 20 men can do work = 6 x 20 x (1/480)
In (21-6) days (20+x) men can do work= (21-6) x (20+x) x (1/480)
Thus we have
Thus number of additional men =4.
Posted by pramodpandey on May 18, 2013 at 7:14 AM (Answer #2)
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