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Question

Jitesh and Kamal can complete a certain piece of work in 7 and 16 days, respectively. They started to work together, and after 2 days, Kamal left. In how many days will Jitesh complete the remaining work?

The correct answer is

23156

Jitesh's 1 day work = 1 ÷ 7, Kamal's 1 day work = 1 ÷ 16
Combined 1 day work = 1/7 + 1/16 = (16 + 7) ÷ 112 = 23/112
Work in 2 days = 2 × 23/112 = 46/112
Remaining work = 1 - 46/112 = 66/112
Time for Jitesh alone to complete = (66/112) ÷ (1/7) = (66/112) × 7 = 462/112 = 23156

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Important Questions from Time and Work

  1. 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:

  2. 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 :

  3. 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?

  4. 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?

  5. 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?

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