A can complete a work in 24 days and B can complete the same work in 18 days.A and B started doing the work together.After 4 days.A discontinued working.How many days would the work take to be completed
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A can complete the work in 24 days
⇒ 1 day = 1/24 of the work
B can complete the work in 18 days
⇒ 1 day = 1/18 of the work
Find the amount of work A and B can do in 1 days:
1 day = 1/24 + 1/28 = 7/72
Find the amount of work A and B can do in 4 days:
1 day = 7/72
4 days = 7/72 x 4 = 7/18
Find the amount of work remain:
Work remain = 1 - 7/18 = 11/18
Find the number of days B need to work:
Number of days = 11/18 ÷ 1/18 = 11
Number of days to complete the work:
Total number of days = 4 + 11 = 15
Answer: The work will be completed in 15 days
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