A can complete a piece of work in 24 days, B in 30 days and C in 18 days.
After working
Together for 5 days, B falls sick. How long will A and C take to complete the work.
Answers
Answered by
24
Answer:
3.57 ~ 3.6 days
Step-by-step explanation:
A+B+C can together do the work in in 1 day = 15 + 12 + 20 /360 = 47/360
A+B+C can together do the work = 360/47 days.
Work completed before B falls sick = 5 * 47/360 = 47/72
Remaining work = 1 - 47/72 = 25/72.
A& C can together do the work in 1 day = 1/24 + 1/18 = 3+ 4/72 = 7/72.
A&C can together do whole work in 72/7 days.
No. of days to complete 25/72 part of work = 25/72 * 72/7 = 25/7 = 3. 57 days.
Answered by
12
Answer:
Fraction of work completed by A, B and C in one day
=1/24 + 1/30 + 1/18 = 47/360.
Fraction of work completed by A, B and C in five days
=(47/360)×5=(47/72)
No.of days A and C to complete the remaining work
= 25/72×72/7=3.5days
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