16 men can finish a piece of work in 49 days. 14 men started working and in 8 days they could finish certain amount of work. If it is required to finish the remaining work in 24 days. How many more men should be added to the existing workforce? `21` b. `28` c. `16` d. `14`

Explanation

one mans one day work =` 1/(16) xx 1/(49)`
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Now 14 men started working for 8 days,amount of work done=` 1/(16) xx 1/(49) xx 14 xx 8=1/7`

amount of work left=`6/7`

1 man will do amount of work in 24 days=` 1/(16) xx 1/(49) xx 24`

Number of men required=`6/7 -: (1/(16) xx 1/(49) xx 24)=28 men.
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