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2015-01-23T14:35:41+05:30

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Nidhi does the work in 20 days.
in 1 day, Nidhi does = (1/20) of the work
Seema does the work in 30 days.
in 1 day, Seema does = (1/30) of the work

Seema finished rest work in 10 days,
in 10 days, she did = (1/30)*10 = 1/3 of the work
So together they did = 1-(1/3) = 2/3 of the work.

In 1 day, both can do = 1/20 + 1/30 = (3+2)/60 = 5/60 = 1/12 of the work
so 1/12 of the work is done in 1 day

2/3 of the work can be done =  \frac{2/3}{1/12} = \frac{2}{3}*12=8\ days   
So Nidhi left after 8 days.
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