Question

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.

A 30 days Correct Answer Incorrect Answer
B 35 days Correct Answer Incorrect Answer
C 25 days Correct Answer Incorrect Answer
D 40 days Correct Answer Incorrect Answer
E None of these Correct Answer Incorrect Answer

Solution

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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