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Time and Work - General Aptitude

Q1:

A does 80% of a work in 20 days. He then calls in B and they together finish the remaining work in 3 days. How long B alone would take to do the whole work?

A 23 days

B 37 days

C 371/2

D 40 days

ANS:C - 371/2

Whole work is done by A in ( 20 x 5 ) = 25 days.
4
Now, ( 1 - 4 ) i.e., 1 work is done by A and B in 3 days.
5 5
Whole work will be done by A and B in (3 x 5) = 15 days.
A's 1 day's work = 1 , (A + B)'s 1 day's work = 1 .
25 15
Therefore B's 1 day's work = ( 1 - 1 ) = 4 = 2 .
15 25 150 75
So, B alone would do the work in 75 = 37 1 days.
2 2