16 women can complete a work in 12 days. 24 children can complete the same work in 18 days. 17 women and 8 children started working and after 8 days 3 more children joined them, how many days will they now take to complete the remaining work?
Answers
Answer: Thus they take 4 days to complete the remaining work.
Step-by-step explanation:
One day work of 16 men is
12
1
.
One day work of 24 children is
18
1
.
One men's one day work is
12×16
1
.
One child's one day work is
24×18
1
.
One day work of 12 men and 8 children is
12×16
12
+
24×18
8
.
One day work =
54×8
35
.
Work done in 8 days = 8×
54×8
35
=
54
35
.
Remaining work = 1−
54
35
=
54
19
.
The remaining work is 12× one men's one day work + 11× one child's one day work.
Hence, 12×
12×16
1
+11×24×18
One day work multiplied by number of days to complete remaining work = remaining work
Therefore, the work is done in 4 days.
(
16
1
+
24
11
×18)x=
54
19
⇒x=4
Thus they take 4 days to complete the remaining work.
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