Shakuntala takes 6 days less than babita to do a work. if both Shakuntala and babita working together can do it in 4 days how many days will Babita take it to finish it.
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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!
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