A mechanical device in a workshop produces items at a constant rate of 60 items per hour. At this rate,

Question

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?

Accepted Answer

The correct answer is 180 . It&rsquo;s given that a mechanical device produces items at a constant rate of 60 items per hour. This rate can be written as 60 &#160; items 1 &#160; hour . Let x represent the number of items the mechanical device will produce in 3 hours at the given rate. It follows that 60 &#160; items 1 &#160; hour = x &#160; items 3 &#160; hours , which can be written as 60 1 = x 3 , or 60 = x 3 . Multiplying each side of this equation by 3 yields 180 = 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 60 &#160; items 1 &#160; hour 3 &#160; hours , or 180 items in 3 hours.

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