X and Y can do a piece of work in 20 days and 12 days respectively. X started the work alone and then after 4 days Y joined him till the completion of the work. How long did the work last?
X and Y can do a piece of work in 20 days and 12 days respectively. X started the work alone and then after 4 days Y joined him till the completion of the work. How long did the work last?
A). 13 days
B). 12 days
C). 11 days
D). 10 days
1 answers
Answered by
Guest on
2021-07-05 07:00:24 | Votes
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#
10 days
X’s 1 day’s work = 1/20 X’s 4 day’s work = 1/20 × 4 = 1/5 The remaining work = 4/5 X and Y’s 1 day work = 1/20 + 1/12 = 4/30 = 2/15 Therefore, Both together finish the remaining work in 4/5/2/15 days = 4/5 × 15/2 = 6 days Therefore, the total number of days taken to finish the work = 4 + 6 = 10 days.
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