a can complete a work in 24 days and b can complete the same work in 20 days. A and B started doing the work together . After 4 days A discontinued working. How many days would the work take to complete
Answers
here we go your answer
Concept
We will first calculate the work done by both person in a single day and then this work done in a day can be used to find out out how much they both work together for 4 day and then the rest of work can be calculated.
Given
The number of days A has to work to finish the work = 24 days
The number of days B has to work to finish the work = 20 days
A and b work together for 4 days.]
Find
We have to calculate the number of days to finish the work when they both work for 4 days and then B work alone.
Solution
The amount of work A does in one day = 1/24
The amount of work B does in one day = 1/20
Total work done = 1
The work done in 4 days when A and B work together = 4*(1/24 + 1/20)
= 4*(20+24)/480
= 44/120
= 11/30
The left work = 1 - 11/30
= 19/30
The number of days required to finish the 19/30 work by B alone = 19/30 * 20
= 38/3
= 12.6 days
Therefore total number of days to finish the work = 4 days + 12.6 days
= 16.6 days
Hence the number of days to finish the work is 16.6 days.
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