High School

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A small metal shop operates 10 hours each day, producing 100 parts per hour. If productivity were increased by 20%, how many hours would the plant have to work to produce 1000 parts?

Answer :

Answer:

8.33 hours or 8 hour 20 minutes

Explanation:

A small metal shop operates 10 hours each​ day, producing 100​ parts/hour.

If productivity were increased​ 20%, then the production will be 120 parts/hour

Then the number hours the plant have to work to produce 1000​ parts will be 1000 units / 120 parts per hour = 8.33 hours or 8 hour 20 minutes

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Rewritten by : Barada

Final answer:

With a 20% productivity increase to 120 parts/hour, the small metal shop would need to work approximately 8.33 hours in order to produce 1000 parts.

Explanation:

If a small metal shop operates 10 hours each day producing 100 parts/hour, increasing productivity by 20% would mean that the shop would now produce 120 parts/hour (100 parts + 20% of 100 parts). To produce 1000 parts at this increased rate:

  • First, calculate the new production rate: 100 parts/hour + (20/100) * 100 parts/hour = 120 parts/hour.
  • Next, divide the total number of parts needed by the new production rate: 1000 parts / 120 parts/hour = 8.33 hours.

Therefore, the plant would need to work approximately 8.33 hours to produce 1000 parts after a 20% increase in productivity.