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Question

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?

The correct answer is

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.

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Important Questions from Time and Work

  1. Mohan can do a piece of work in 10 days and Sohan in 15 days. They started working together, but after 3 days Mohan left the work . What time will Sohan take to finish the work?

  2. A tank is filled in 8 hours by three taps A, B and C. The tap C is thrice as fast as B and B is twice as fast as A. How much time will pipe B alone take to fill the tank?

  3. Had been one menless, then the number of days required to do a piece of work would have been one more. If the number of Man. Days required to complete the work is 56, how many workers were there?

  4. A can do a piece of work in 16 hours, B and C can do it in 8 hours while A and C can do it 12 hours. How long will B alone take to do it?

  5. lf 12 men can do a work in 20 days, in how many days will the work be done by 15 men-
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