Answer :
Given that a small metal shop operates 10 hours each day, producing 100 parts/hour. If productivity were increased by 20%, we need to find the hours it would take the plant to produce 1000 parts. Let's begin the solution with the help of steps given below;The amount of parts produced in one day of 10 hours would be;Number of parts in one day = Number of hours in one day * Number of parts produced in one hour= 10 * 100= 1000 parts
When productivity increased by 20%, the new production rate would be;New production rate= Old production rate * (100% + 20%)= 100 * (100% + 20%)= 100 * (120%)= 120 parts/hourNow, we need to calculate the time the plant would have to work to produce 1000 parts at the new productivity rate of 120 parts/hour;1000/120= 8.33Therefore, the number of hours it would take the plant to produce 1000 parts at the new productivity rate of 120 parts/hour is between 8 and 9 hours. Hence, the correct option is between 8 and 9 hours.
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