Question

25. X and Y together can do a piece of work in 8 days, where as X alone can do it in 12 days. In how many days can
Y do the same work alone?
(1) 12 days
(2) 24 days
(3) 36 days
(4) 16 days​

Answer 1

Answer:

12 days also

Step-by-step explanation:

because if X can do 12days alone Y can also do because they are the same

Answer 2

Answer:

Y alone can do the same work in 24 days.

Step-by-step explanation:

X and Y together can do a piece of work in 8 days.

∴ Each day, both of them together can complete $\frac{1}{8}$ part of the work.

X alone can do the work in 12 days

∴ Each day, X can complete $\frac{1}{12}$ part of the work.

∴ Each day, Y can complete $\frac{1}{8} - \frac{1}{12}$ part of the work = $\frac{3 - 2}{24}$ = $\frac{1}{24}$ part of the work

∴ Y alone can do the same work in 24 days.