Question
A machine produces 280 pieces in 2.5 hours. To the nearest tenth of an hour, how long does it take to produce 640 pieces at this same rate?
Answers
GPT 3.5
To find out how long it takes to produce 640 pieces at the same rate, we can set up a proportion:
280 pieces / 2.5 hours = 640 pieces / x hours
Cross multiplying, we get:
280 * x = 640 * 2.5
280x = 1600
Dividing both sides by 280:
x = 1600 / 280
x = 5.7
Therefore, it takes approximately 5.7 hours to produce 640 pieces at the same rate.
280 pieces / 2.5 hours = 640 pieces / x hours
Cross multiplying, we get:
280 * x = 640 * 2.5
280x = 1600
Dividing both sides by 280:
x = 1600 / 280
x = 5.7
Therefore, it takes approximately 5.7 hours to produce 640 pieces at the same rate.