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Question

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?

The correct answer is

\(\frac{171}{42} \)

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.

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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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