X can complete a project in 40 days. He worked on it for eight days, and Y completed it in sixteen days. How long will it take them to finish the project as a team?
A. 13 1/3days
B. 15 days
C. 20 days
D. 26 days
Answer:A
X can complete a project in 40 days. He worked on it for eight days, and Y completed it in sixteen days. How long will it take them to finish the project as a team?
A. 13 1/3days B. 15 days C. 20 days D. 26 days
Explanation: Work completed by X in 8 days Equals ( 1/40 x 8) = 1/5.Work remaining = ( 1 - 1/5 ) = 4/5.Y now completes 4/5 of the job in 16 days.Y will complete the project in ( 16 x 5/4 ) = 20 days.As a result, X's 1 day's labour equals 1/40, while Y's 1 day's work equals 1/20.1 day's labour for (X + Y) = ( 1/40 + 1/20 ) = 3/40.As a result, X and Y will finish the task in (40/3)= 13 1/3 days.