5 man or 9 woman can end a work in 19 days. how many days can be taken to end this work by 3 man and 6 woman .
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Answer:
9 women = 5 men
1 woman = 5/9 men
6 women = 5/9 × 6 = 5×2 / 3 = 10/3 men
Total men = 3 + 10/3 = 9+10 / 3 = 19/3
Men - Time (days)
5. - 19 days
19/3 - x
By condition,
5 / 19/3 = 19/x
=> 5 × 3/19 = 19/x
=> 15/19 = 19/x
=> 15x = 361 => x = 361/15 = 24.067 (ans).
Hence, 24.067 days can be taken to end this work by 3 men and 6 women.
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