If 6 men can make 10 sofas in 2 days, then 8 men can make 8 sofas in ______?

If 6 men can make 10 sofas in 2 days, then 8 men can make 8 sofas in ______?

Explanation

Step 1: Calculate the rate of work for 6 men

6 men make 10 sofas in 2 days. So, the rate of work per day for 6 men is 10 sofas / 2 days = 5 sofas per day.

Step 2: Calculate the rate of work per man per day

Rate per man per day = 5 sofas / 6 men = 5/6 sofas per man per day.

Step 3: Calculate the rate of work for 8 men

Rate for 8 men per day = 8 men * 5/6 sofas per man per day = 20/3 sofas per day.

Step 4: Calculate the time to make 8 sofas

Time = Total sofas / Rate per day

= 8 sofas / (20/3 sofas per day)

= 8 * 3 / 20

= 24 / 20

= 1.2 days