A can do a piece of work in 15 days and B in 20 days. With the help of C, the work gets
finished in 5 days. How long will C take to finish the work alone?
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Answer:
hope this helps you
Step-by-step explanation:
A can do the work in 20 days
1 day = 1/20 of the work
B can do the work in 15 days
➡ 1 day = 1/15 of the work
Find the amount of work A and B can complete in a day:
1 day = 1/20 + 1/15 = 7/60
Find the amount of work c can complete in a day:
a + b + c can complete the work in 5 days
1 day= = 1/5 of the work
C alone
1 day = 1/5 - 7/60 = 1/12 -
Find number of days c needs to complete the
work:
1/12 of the work = 1 day
12/12 of the work = 1 x 12 = 12 days
Answer: C can complete the work alone in 12 days.
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