A and B can finish a project in 15 and 10 days, respectively. They began working together, but after two days, B had to depart, leaving A to finish the remaining tasks on her alone. The entire project was finished in:
A. 8 days
B. 10 days
C. 12 days
D. 15 days
Answer:C
A and B can finish a project in 15 and 10 days, respectively. They began working together, but after two days, B had to depart, leaving A to finish the remaining tasks on her alone. The entire project was finished in:
A. 8 days B. 10 days C. 12 days D. 15 days
Explanation: 1 day's work for (A + B) = ( 1/15 + 1/10 ) = 1/6.A and B's work in two days = ( 1/6 x 2) = 1/3.Work remaining = ( 1 - 1/3 ) = 2/3.A now completes 1/15 of the job in one day.As a result, a will complete 2/3 of the task in ( 15 x 2/3 ) = 10 days.As a result, the total time required is (10 + 2) = 12 days.