Final answer:
It would take 3 men approximately 72 minutes to load 120 logs. The correct option C .
Step-by-step explanation:
To find the amount of time it would take 3 men to load 120 logs, we need to first determine the rate at which the group of 5 men can load logs. From the given information, we know that 5 men can load 90 logs in 15 minutes. To find the rate, we divide the number of logs by the number of minutes: 90 logs / 15 minutes = 6 logs per minute. So, the group of 5 men can load logs at a rate of 6 logs per minute.
Next, we can use this rate to determine the time it would take 3 men to load 120 logs. We can set up a proportion: 5 men / 6 logs per minute = 3 men / x, where x represents the time it would take for 3 men to load 120 logs. Cross-multiplying, we get: 5 men * x = 3 men * 120 logs, or 5x = 360. Dividing both sides by 5, we find that x = 72. Therefore, it would take 3 men approximately 72 minutes to load 120 logs.
p-by-step solution:
Determine the rate at which 5 men load logs: 90 logs / 15 minutes = 6 logs per minute.
Adjust this rate to per man: 6 logs per minute / 5 men = 1.2 logs per minute per man.
Find out how many logs 3 men can load in one minute: 1.2 logs per minute per man * 3 men = 3.6 logs per minute.
Calculate the time it would take to load 120 logs at the adjusted rate: 120 logs / 3.6 logs per minute = approximately 33.33 minutes.
Round to the nearest minute to get the final answer: 33 minutes (option C).
We concluded that it would take approximately 33 minutes for 3 men to load 120 logs onto a truck when working at the same rate as the original group of 5 men.