If 3 machines together produce 180 items in 6 hours, what is the production rate per machine per hour?

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Multiple Choice

If 3 machines together produce 180 items in 6 hours, what is the production rate per machine per hour?

Explanation:
To find production per machine per hour, first determine the overall output per hour and then divide by the number of machines. 180 items are produced in 6 hours, so the total per hour is 180 ÷ 6 = 30 items per hour. With three machines working, the per-machine rate is 30 ÷ 3 = 10 items per hour per machine. So the production rate per machine per hour is 10 items. If each machine produced 5 items per hour, three machines would put out only 15 items per hour, totaling 90 in 6 hours—far short of 180. If each produced 15 or 20 items per hour, total output would be 45 or 60 items per hour, resulting in 270 or 360 items in 6 hours—also not matching 180.

To find production per machine per hour, first determine the overall output per hour and then divide by the number of machines.

180 items are produced in 6 hours, so the total per hour is 180 ÷ 6 = 30 items per hour. With three machines working, the per-machine rate is 30 ÷ 3 = 10 items per hour per machine.

So the production rate per machine per hour is 10 items. If each machine produced 5 items per hour, three machines would put out only 15 items per hour, totaling 90 in 6 hours—far short of 180. If each produced 15 or 20 items per hour, total output would be 45 or 60 items per hour, resulting in 270 or 360 items in 6 hours—also not matching 180.

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