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Question

# If 24 women and 32 girls can do a piece of work in 2.5 weeks, while 26 women and 48 girls can complete it in 2 weeks, what is the ratio of daily work done by a woman to that of a girl?

A

2:1

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B

4:3

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C

5:4

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D

3:2

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E

None of these

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Solution

## The correct option is A 2:1 Let 1 woman's 1 week's work = x and 1 girl's 1 week's work = y Then, 24x+32y=25 and 26x+48y=12 Solving these two equations, we get : x=1100 and y=1200 ∴ Required ratio = x : y =1100:1200=2:1

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