<p><a target="_blank" href="https://www.prepswift.com/quizzes/quiz/prepswift-identical-machines">Identical Machines Exercise</a></p><p>Sometimes in work/rate problems, there a bunch of <span style="color:#27ae60;">Identical Machines</span> working together. When this happens, we have to adjust the work/rate formula a bit, where $n$ is the number of identical machines (or some other identical entities).</p>
<p>$$w = nrt $$</p>
<p><strong><span style="color:#8e44ad;">Example</span></strong></p>
<p>If $5$ identical machines can create $100$ bolts in two minutes, how many bolts can $27$ identical machines create in four minutes?</p>
<p style="margin-left: 40px;"><strong>Step 1</strong>: Calculate the rate of just one machine using the formula above.</p>
<p>$$100 = (5)r(2)$$</p>
<p>$$r=10$$</p>
<p style="margin-left: 40px;">So one of these machines can create $10$ bolts per minute.</p>
<p style="margin-left: 40px;"><strong>Step 2</strong>: Solve the problem with the new information.</p>
<p>$$w = (27)(10)(4)=1080 \ bolts$$</p>