a can do a work in 6 days amd b can do it in 8 days the worked together for 2 days and then b left how many days will a require to finish the work
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Answer : a can finish the work in 2 1/2 days
Explanation:
(the spaces symbolize it is a fraction).
A can do a work in = 6 days
A’s, 1 day work =
6
1
B can do a work in = 8 days
B’s, 1 day work =
8
1
Both (A+B)’s 1 day work =
6
1
+
8
1
=
24
4+3
=
24
7
Both (A+B)’s 2 day work =2×
24
7
=
12
7
So, the remaining work =1−
12
7
=
12
12−7
=
12
5
Now,
It is given that,
A can do a work in 6 days
A can do
12
5
work in =6×
12
5
days
=
2
5
days
=2
2
1
days
∴A can finish the work in 2
2
1
days.
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