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George can do a piece of work in 8 hours. Paul can do the same work in 10 hours, Hari can do the same work in 12 hours. George, paul and hari start the same work at 9 am, while george stops at 11 am, the remaining two complete the work. What time will the work complete?

+1 vote

a) 11.30 am
b) 12 noon
c) 12.30 pm
d) 1 pm

asked Nov 1, 2013 in TCS by Campusgate

1 Answer

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Best answer
Let the total work = 120 units.
As George completes this entire work in 8 hours, his capacity is 15 units /hour
Similarly, the capacity of paul is 12 units / hour
the capacity of Hari is 10 units / hour
All 3 started at 9 am and worked upto 11 am. So total work done upto 11 am = 2 x (15 + 12 + 10) = 74
Remaining work = 120 - 74 = 46
Now this work is to be done by paul and hari.  46 / (12 + 10) = 2 hours (approx)

So work gets completed at 1 pm
answered Nov 1, 2013 by Campusgate
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