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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

231⁄56

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 = 231⁄56

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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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