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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

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

\(W_{left}=1-3(1/9+1/14)=\frac{57}{126};\quad t=9\frac{57}{126}=\frac{171}{42}\text{ days}\)

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Important Questions from Time and Work

  1. A works thrice as fast as B. If B can complete a work in 256 days independently, then find the number of days in which A and B can together
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  2. A can finish a job in 146 days, B can finish the same job in 219 days and C can finish the same job in 292 days. If all three are working together, how many days will they require to complete the same job?
  3. X can finish a work in 153 days, Y can finish a work in 255 and Z can finish the same piece of work 340 days. How many days will they require to complete the work, if X, Y and Z are working together?
  4. A finish a work in 1170 days and B can do the same work in 2340 days. Working together, they will complete the same work in how many days?
  5. A can finish a job in 102 days, B can finish the same job in 153 days and C can finish the same job in 204 days. If all three are working together, how many days will they require to complete the same job?
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