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in Commercial Mathematics by (65.2k points)
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8 men and 16 women can finish a job in 6 days  but 12 men & 24 women can finish it in 8 days. How many days will 26 men and 20 women take to finish the job?

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8 men & 16 women can finish a Job in 6 days

∴ In 1 day the work done is of 48 men and 96 women. 

12 men & 24 women can finish a job in 8 days. 

In 1 day the work done is of 96 men & 192 women. 

∴ 48 men + 96 women = 96 men + 192 women 

26M + 20W = 52W + 20W = 72W 

Let the required number of days be x. 

192 : 72 = x : 5 X = \(\frac{192 \times 5}{72} = \frac{45}{3}\) = 15 days

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