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A can do a job in 12 hrs B can do a job in 6 hours. If A and B work for 3 hours , how many hours will it take A to finsih the rest of the job
18 Aug 2010, 09:49
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A can do a job in 12 hrs B can do a job in 6 hours. If A and B work for 3 hours , how many hours will it take A to finsih the rest of the job
Answer: A would finish the job in 3 hours time.
In 3 hours, A would complete 1/4th of the job and B would complete 1/2 of the job.
Hence total job completed in 3 hours is 3/4th.
Rest 1/4 would be completed by A in 3 hours.
22 Aug 2017, 08:16
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A can do a job in 12 hrs B can do a job in 6 hours. If A and B work for 3 hours , how many hours will it take A to finsih the rest of the job
A's rate is \(\frac{1job}{12hrs}\)B's rate is \(\frac{1job}{6hrs}\)
They work together for three hours; add their rates.
\(\frac{1}{12}\) + \(\frac{1}{6}\) = \(\frac{1}{4}\)
\(rt=W\) is the work they will finish in 3 hours:
\(\frac{1}{4}\)* 3 = \(\frac{3}{4}\) of the job (work) is finished.
A will finish the remaining \(\frac{1}{4}\)W in \(W/r= t\):
\(\frac{\frac{1}{4}}{\frac{1}{12}}\) = 3 hours for A to finish the rest of the work
