(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? Select the correct option: A) 27 days B) 12 days C) 25 days D) 18 days E) None of these
Explanation:   (3/4) × (x - 2)x = (x + 7)(x - 10)   =&gt; x2 - 6x - 280 = 0   =&gt; x= 20 and x=-14   so, the acceptable values is x=20   Total work = (x - 2) × x = 18 × 20 = 360 unit   Now 360 = 30 × k (30 = 20 + 10)   k = 12 days   Answer: 12 days
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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?