Priya can do a certain piece of work in 30 days. Priya and Varsha can together do the same work in 18 days, and Priya, Varsha, and Nisha can do the same work together in 9 days. In how many days can Priya and Nisha do the same work?
45/4
Let the rates of Priya, Varsha, and Nisha be p, v, and n, respectively. We know that Priya can complete the work in 30 days, so her rate is 1/30. Priya and Varsha together can complete it in 18 days, so their combined rate is 1/18. Similarly, Priya, Varsha, and Nisha together can complete it in 9 days. From this, we can set up equations and solve to find the time taken by Priya and Nisha together.
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?
