To find out how long it takes for 3 children to eat 120 candies, you can use the concept of direct proportionality.
1. Calculate the rate at which one child eats candies:
6 children eat 160 candies in 2 hours, so 1 child eats (160 candies / 6 children) in 2 hours.
Simplifying, 1 child eats 26.67 candies in 2 hours.
2. Find out how long it takes for 3 children to eat 120 candies:
Since 1 child eats 26.67 candies in 2 hours, 3 children will eat (26.67 candies * 3) in the same 2 hours.
Therefore, 3 children will eat 80 candies in 2 hours.
3. Calculate the time needed for 3 children to eat 120 candies:
To find out how long it takes for 3 children to eat 120 candies, you can set up a proportion:
80 candies is to 2 hours as 120 candies is to x hours.
Cross multiply: 80 * x = 120 * 2
Simplify: 80x = 240
Divide by 80: x = 240 / 80
x = 3 hours
Therefore, it would take 3 children 3 hours to eat 120 candies at the given rate of consumption.
