Saturday, July 13, 2013

4-time and work

A is thrice as good a workman as B, and takes 60 days less than B for doing a job. Find the time in which they can do it together?





Answer
Let B do the job in Y days.
So, A will do the job in Y/3 days
Therefore in 1 day A and B will together do (1/Y +3/Y) = 4/Y part of job.
Also given that Y - Y/3 = 60 days
So, Y = 90

Since A and B will together do  4/Y part of job  in 1 day.
So, they will together do the job in Y/4 days = 90/4 = 22.5 days

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