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:

The plant would have to work 8.33 hours

Explanation:

Initial productivity:

100 parts were produced in 1 hour

Percentage increase in productivity = 20%

New productivity:

100 + (100 × 0.2) = 100 + 20 = 120

120 parts would be produced in 1 hour

Number of hours the plant would have to work to produce 1000 parts = 1000/120 = 8.33 hours

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Rewritten by : Barada

How many hours would the plant have to work to produce 1000 parts is 500 minutes.

First step

Increasing productivity= 100×(1 + 0.20)

Increasing productivity= 100×1.20

Increasing productivity= 120 parts/hour

Second step is to use a proportion to solve time required

Let x represent the time

120 parts/60 minutes=1000 parts/x minutes

120x=60,000

Divide both side by 120x

x=60,000/120

x=500 minutes

Inconclusion how many hours would the plant have to work to produce 1000 parts is 500 minutes.

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