A takes 6 days less than B to finish a piece of work. If both A and B together
can finish the work in 4 days, find the time taken by B to finish the work.
15
12
13
121/2
Answers
Answered by
0
Answer:
We call the time it takes for B to finish the piece of work
x
.
For problems like these, we must consider how much work can be done in one day.
1
x
+
1
x
−
6
=
1
4
x
−
6
x
(
x
−
6
)
+
x
x
(
x
−
6
)
=
1
4
4
(
x
−
6
+
x
)
=
x
2
−
6
x
4
(
2
x
−
6
)
=
x
2
−
6
x
8
x
−
24
=
x
2
−
6
x
0
=
x
2
−
14
x
+
24
0
=
(
x
−
12
)
(
x
−
2
)
x
=
12
and
2
If the time it takes
B
is
2
days, then the time it takes
A
is
−
4
days, which has no sense.
Therefore, it would take
B
a period of
12
days to finish the job.
Hopefully this helps!
Answered by
0
hope it will helps you...
Attachments:
Similar questions