High School

A machine in a factory has an error rate of 4 parts per 100. The machine normally runs 24 hours a day and produces 8 parts per hour. Yesterday, the machine was shut down for 8 hours for maintenance. How many error-free parts did the machine produce yesterday?

Answer :

Final answer:

With an error rate of 4 per 100 parts, the machine, which operated for 16 hours yesterday, produced 122 error-free parts.

Explanation:

The machine usually produces 8 parts per hour and runs for 24 hours, making 192 parts in a day. Having been shut down for 8 hours yesterday, it ran for 16 hours, hence produced 8 * 16 = 128 parts. The error rate being 4 per 100 parts, 96% of these parts are error-free. Therefore, out of the 128 parts manufactured yesterday, the machine produced 128 * 0.96 = 122.88, which rounds down to 122 error-free parts.

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