Pintu takes 6 days more than those of Nishu to complete certain work. If they worktogether they finish it in 4 days. How many days would it take to complete thework if they work alone.

Pintu takes 6 days more than those of Nishu to complete certain work.

1.	Pintu takes 6 days more than those of Nishu to complete certain work. If they worktogether they finish it in 4 days. How many days would it take to complete thework if they work alone.
Answer» Let Pintu take = x daysNishu takes = (x - 6) daysIn one dayPintu does = 1/xNishu does = 1/(x - 6)The two together do 1/x + 1(x - 6), and they take 4 days;So1/x + 1(x - 6) = 1/48x - 24 = x² - 6xx² -14 + 24 = 0x² - 2x - 12x + 24 = 0x(x - 2) - 12(x - 2) = 0(x - 12)(x - 2) = 0Eitherx - 12 = 0x = 12orx - 2 = 0x = 2x can not be 2, so we take x = 12Pintu alone takes = 12 daysNishu alone takes = 12 - 6 = 6 days