P can do a piece of work in 5 less days than Q. If both of them can do the same work in 1119 days, in how many days will Q alone do the same work ?

Q: P can do a piece of work in 5 less days than Q. If both of them can do the same work in 1119 days, in how many days will Q alone do the same work ?

Let Q complete that work in 'L' days => 1 L + 1 L - 5 = 9 100 => 9 L 2 - 245 L + 500 = 0 L = 25 days.

24 days
25 days
20 days
19 days

Correct Answer: 25 days

Explanation:

Let Q complete that work in 'L' days

=> $\frac{1}{L} + \frac{1}{L - 5} = \frac{9}{100}$

=> $9 L 2 - 245 L + 500 = 0$

L = 25 days.

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