2. A can do a piece of work in 40 days. He works at
it for 8 days and B finishes it in 16 days. How
long will they take to complete the work if they
do it together.
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Answer:
Step-by-step explanation:
A can do a piece of work in 40 days
Work of A in 1 day=1/40
Work of A in 8 days=8/40=1/5
1/8th part of work is done by A
Remaining work=(1−1/5)=7/8
7/8th part is done by B in 16 days
Total work will be done by B in =16/7/8 = 128/7 = 18.2 days
Work done by B in one day=1/24
Work done by A and B together in one day will be(1/40+1/24)
(3+5/120)=8/120=1/15
A and B will take 15 days to complete the work together.
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