X can finish 25% of a work in day. Y can do 12.5% of the same work in a day. In how many days, will both of them finish the work together?
As per the given data,
No of days taken by X to finish the work = 100/25 = 4 days
⇒ Work done by X in one day = 1/4
No of days taken by Y to finish the work = 100/12.5 = 8 days
⇒ Work done by Y in one day = 1/8
∴ Work done by X and Y together to finish the work = 1/4 + 1/8 = 3/8
⇒ Number of days taken by X and Y together to finish the work = 8/3 = 2.67 days