Olympiad workbookIOQMBasics of Mathematics
A contractor has two teams of workers : team A and team B. Team A can complete a job in 12 days and team B can do the same job in 36 days. Team A starts working on the job and team B joins team A after four days. The team A withdraws after two more days. For how many more days should team B work to complete the job ?
Correct answer
16
Step-by-step solution
Let total worker in team A be x Let total worker in team B be y Given 12 x =36 y x = 3y Per worker work done per day be W . total work 36 W y aligned & 36 W y=6 W x+M W y & M=2+ Number of more days. & 36 y=18 y+M y & M=18 y+M y & M=18 aligned Hence 16 more days