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UP TGT Mathematics Commercial Mathematics Test Series - Part 4

4 men and 6 women can finish a job in 8 days, while 3 men and 7 women can finish it in 10 days. In how many days will 10...

Type: MCQ • Marks: 1
4 men and 6 women can finish a job in 8 days, while 3 men and 7 women can finish it in 10 days. In how many days will 10 women finish the same job?
Options
A. 1) 40 days
B. 2) 50 days
C. 3) 60 days
D. 4) 30 days
Explanation
8*(4M + 6W) = 10*(3M + 7W) => 32M + 48W = 30M + 70W => 2M = 22W => 1M = 11W. Total work = 8*(4(11W) + 6W) = 8*(50W) = 400 W-days. Time taken by 10 women = 400 / 10 = 40 days.
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