Sunita takes 10 days to complete a piece of work. Neelam takes 32 days more than the time taken by both Neelam and Sunita to finish the work. Find the time taken by Neelam alone to finish the work.
Let Neelam and Sunita together do it in x days and Neelam do it in ( x + 32 ) days `1/10+1/(x+2) = 1/x` ⇒ `(x+32+10)/(10(x+32) ) = 1/x` ⇒ 10 x + 320 = x ² + 42x x² + 32x - 320 = 0 Solving the equation x = 8 Neelam will do it in (8 + 32) = 40 days.
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