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