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(x-2) men can do a piece of work in x days and (x+7) men can do 75% of the same work in (x-10)days. Then in how many days can (x+10) men finish the work?

Correct Answer: 12 days

Explanation:

3 4 × ( x - 2 ) x = ( x + 7 ) ( x - 10 )


x 2 - 6 x - 280   = 0  


=> x= 20   and   x=-14


 so, the acceptable values is x=20 


Therefore, Total work =(x-2)x = 18 x 20 =360 unit


 Now   360 = 30 x k         


=> k=12 days


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