there are two machines that can produce aluminum cans. The newer machine can produce 5400 cans in 180 minutes. It takes the older machine 21

Question

there are two machines that can produce aluminum cans. The newer machine can produce 5400 cans in 180 minutes. It takes the older machine 217 minutes produce that many cans. If the two machines work together, how long will it take them to produce 5400 cans?

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Khang Minh 6 months 2021-08-24T04:44:53+00:00 1 Answers 0 views 0

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    2021-08-24T04:46:38+00:00

    The newer machine works at a unit rate of

    (5400 cans) / (180 min) = 30 cans/min

    while the older machine operates at

    (5400 cans) / (217 min) ≈ 24.88 cans/min

    So working together, the two machines work at a rate of about 54.88 cans/min. Producing 5400 cans would then take about

    (5400 cans) / (54.88 cans/min) ≈ 98.39 min

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