A does 80% of work in 20 days he then call b and they together finish the remaining work in 3 days how long b alone would take to do the same work
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A did 80% of work in 20 days
Part of work completed by A in 20 days = 80/100 = 4/5
Time taken by A to complete whole work alone = 20x5/4 = 25 days
A and B completed remaining work in 3 days by working together
so, Part of work done by A and B together = 1 - 4/5 = 1/5
A and B did 1/5 part work in 3 days
A and B will do whole work together in 3x5 = 15 days
Work done by B in 1 day alone = Work done by A and B together in 1 day - work done by A alone in 1 day
= 1/15 - 1/25
= (10-6) / 150
= 4/150
B will complete whole work in 150/4 days working alone
= 37 1/2
or, 37.5 days
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