Three men and five women can do a piece of work in 4 days, while one
man and one woman can finish it in 15 days. How long would it take for
one man to do the work?
Answers
Answered by
0
Step-by-step explanation:
Let’s assume that a man takes x days to do work and a woman takes y days.
So, the amount of work done by 1 man in 1 day =
x
1
And the amount of work done by 1 woman in 1 day =
y
1
Now,
The amount of work done by 2 men in 1 day will be =
x
2
And the amount of work done by 5 women in 1 day =
y
5
Then according to the question,
x
2
+
y
5
=
4
1
… (i)
x
1
+
y
1
=
12
1
… (ii)
Multiplying equation (ii) by 5, we get
x
5
+
y
5
=
12
5
... (iii)
Subtracting equation (i) from (iii), we get
x
3
=
12
5
−
4
1
⇒
x
3
=
12
5−3
⇒
x
3
=
12
2
=
6
1
⇒x=18
Therefore, 1 man can do the work in 18 days.
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