A and B together can dig a pond in 30days they worked together for 12 days and then B leaves the work how long will A take to finish the work if A alone can dig the pond in 40 days
Answers
A will take 24 further days to dig a pond
Step-by-step explanation:
A and B together can dig a pond in 30 days
=> A & B 1 day work = 1/30
they worked together for 12 days
=> work done in 12 Day = 12/30 = 2/5
Remaining work = 1 - 2/5 = 3/5
A alone can dig the pond in 40 days
=> A's 1 day work = 1/40
A will take further days = (3/5)/(1/40) = 24 Days
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Answer:
A can dig pond in 18 days
Step-by-step explanation:
Let the work be a quantity being represented by x
.
It has been given that A takes a total of 30
days, so A’s one day work is x/30
.
Then, together they can do the work in 20
days, so one day’s work is x/20
.
Hence, B’s one day work is x/20−x/30=x/60
.
So, for 8
days, the total amount of work done is,
x/20×8=2x/5
Hence, amount of work left,
x−2x/5=3x/5
Now, in one day, A does x/30
work, so, number of days for the remaining work is,
3x/5x/1/30=3/5*30=18
Hence, 18
days are taken by A to complete the work.
