Hemant and Irfan can complete a certain piece of work in 9 and 14 days, respectively. They started to work together, and after 3 days, Irfan left. In how many days will Hemant complete the remaining work?
\(\frac{171}{42} \)
Hemant's work rate = 1/9 per day, Irfan's work rate = 1/14 per day. In 3 days, Hemant and Irfan together will complete: (1/9 + 1/14) * 3 = 3 * (23/126) = 69/126 = 1/2 of the work. So, 1/2 of the work remains. Since Hemant works alone now, he will complete the remaining work in 9 days. Therefore, Hemant will complete the remaining work in 171 days.
Important Questions from Time and Work
Surbhi can do a piece of work in 24 days. She completed 3/8 of the work and then left it. Amit can complete the remaining work in 10 days. Working together, they will complete 125% of the same work in:
Rama and Hari can together finish a piece of work in 15 day. Rama works twice as fast as Hari, then Hari alone can finish work in :
Anil, Deepak and Dinesh together can complete a work in 35 days. Anil and Dinesh together can complete the same work in 60 days. In how many days Deepak alone can complete the same work?
Anu is four times as good as Binni in completing a task. Together they finish the same task in 7 hours. In how many hours will Anu alone complete the task?
P, Q and R can complete a work in 10 days, 20 days and 30 days, respectively, working alone. How soon can the work be completed if P is assisted by Q and R on alternate days?
