GPL Mathematical Skills | Time and Work

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Q. No. 19:	Aditya, Vedus and Yuvraj alone can do a job for 6 weeks, 9 weeks and 12 weeks respectively. They work together for 2 weeks. Then, Aditya leaves the job. Vedus leaves the job a week earlier to the completion of the work. The job would be completed in :
A :	4 weeks
B :	5 weeks
C :	7 weeks
D :	None of these

Solution Answer: D 2 weeks work of Aditya, Vedus and Yuvraj = 2[1/6 + 1/9 + 1/12] = 26/36 Work left = 1- 26/36 = 10/36 Let Vedus works for x weeks with Yuvraj after Aditya. => x weeks work of both = x[1/9 + 1/12] = 7x/36 The remaining work is done by Yuvraj in 1 week. One week work of Yuvraj = 1/12 => 26/36 + 7x/36 + 1/12 = 1 => 29+ 7x = 36 => x = 1. Vedus worked for 1 week with Yuvraj.