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). 45/2 days
B). 55 days
C). 65/2 days
D). 75/2 days
75/2 days
Whole work is done by A in ( 20 x 5/4 ) = 25 days.
Now, ( 1 - 4/5 ) i.e., 1/5 work is done by A and B in 3 days.
Whole work will be done by A and B in (3 x 5) = 15 days
.
A's 1 day's work = 1/25 , (A + B)'s 1 day's work = 1/15
.
Therefore B's 1 day's work = ( 1/15 - 1/25 ) = 4/150 = 2/75
.
So, B alone would do the work in 75/2 days.