Question : 4 women or 6 boys can finish a work in the same number of days. A boy can finish it in 60 days. In how many days can 5 women finish the work, working together every day?
Option 1: 4
Option 2: 10
Option 3: 8
Option 4: 6
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Correct Answer: 8
Solution :
Given: 4 Women = 6 Boys
The ratio of efficiency of Woman : Boy = 3 : 2
Let the efficiency of a Woman and a Boy be 3 units and 2 units
Boys can complete work in = 60 days
Then, total work = 60 × 2 = 120 units
5 women's work with efficiency of 3 units = 5 × 3 = 15 units
So, time taken by 5 women = $\frac{\text{Total work}}{\text{Efficiency of 5 women}}$
= $\frac{120}{15}$
= 8 days
Hence, the correct answer is 8.
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