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Problem-Solving and Data Analysis Difficulty: Easy

A mechanical device in a workshop produces items at a constant rate of $60$ items per hour. At this rate, how many items will the mechanical device produce in $3$ hours?

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Explanation

The correct answer is $180$ . It’s given that a mechanical device produces items at a constant rate of $60$ items per hour. This rate can be written as $StartFraction 60 items Over 1 hour EndFraction$ . Let $x$ represent the number of items the mechanical device will produce in $3$ hours at the given rate. It follows that $\frac{60 items}{1 hour} = \frac{x items}{3 hours}$ , which can be written as $\frac{60}{1} = \frac{x}{3}$ , or $60 = \frac{x}{3}$ . Multiplying each side of this equation by $3$ yields $180 equals x$ . Therefore, at the given rate, the mechanical device will produce $180$ items in $3$ hours.

Alternate approach: It's given that a mechanical device produces items at a constant rate of $60$ items per hour. At this rate, the mechanical device will produce $left parenthesis StartFraction 60 items Over 1 hour EndFraction right parenthesis left parenthesis 3 hours right parenthesis$ , or $180$ items in $3$ hours.