Question

10 women can complete a work in 7 days and 10 children take 14 days to complete the work. How many days will 5 women and 10 children take to complete the work?

A 5 Correct Answer Incorrect Answer
B 7 Correct Answer Incorrect Answer
C 3 Correct Answer Incorrect Answer
D none of these Correct Answer Incorrect Answer

Solution

10 women can complete the work in 7 days. 70 women can complete the work in 1 day. Again, 10 children can complete the work in 14 days. 140 children can complet the work in 1 day. 70 women = 140 children 1 women = 2 children 5 women + 10 children (10 + 10) children = 20 children. Now, 140 children can complete the work in 1 day 20 children can complete in `140/20 = 7` days Alternate Solution: (10W)`xx` 7 = (10 C )`xx` 14 So 1W=2C

Now , (10W)`xx` 7 = (5W+10 C )`xx` T (10`xx` 2)`xx` 7 = (5`xx` 2+10 `xx` 1 )`xx` T
140 = 20T
T = 140/20 = 7 days

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