Question

6 men and 8 women can do as much work in a given time as 3 men and 13 women. the capacities of a man and a woman are in the ratio

a. 5:3
b. 5:8
c. 3:5
d. 3:8

Answer 1

The ratio of the capacities of a man and a woman is 5:3.

Step-by-step explanation:

To solve this problem, let's first assign variables to represent the capacities of a man and a woman. Let's say the capacity of a man is 5x and the capacity of a woman is 3x.

According to the given information, 6 men and 8 women can do as much work as 3 men and 13 women. We can set up the following equation:

6(5x) + 8(3x) = 3(5x) + 13(3x)

Simplifying the equation, we get:

30x + 24x = 15x + 39x

54x = 54x

Since both sides are equal, we can conclude that the ratio of the capacities of a man and a woman is 5:3.