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20 Jul 2017 : Time and Work
P can do a work in 19 days. Q can do the same work in 9.5 days and R can do the same in 28.5 days. Q and R start the work and leave after 3 days. P finishes the remaining work in X days. What is the value of X?
OPtion
1) 10.5 days
2) 9.5 days
3) 11.0 days
4) 12.0 days
5) 12.5 days
6) 10.0 days
7) 11.5 days
8) 13.0 days
9) 9.0 days
10) None of these
Solution
Amount of work done by Q and R in 3 days = 3*(1/9.5 + 1/28.5) = 3*4/28.5 = 3*8/57 = 8/19
Amount of work remaining after 3 days = 11/19
Amount of work done by P in 1 day = 1/19
So for 1/19 work P takes 1 day
Hence for 11/19 work P would take (1/(1/19))*11/19 = 11 days
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