<p><a href="https://www.prepswift.com/quizzes/quiz/prepswift-distance-rate-x-time" target="_blank">Distance = Rate x Time Exercise</a></p><p><span style="color:#27ae60;">The Distance Formula</span> is just something to memorize. It's VERY useful for solving distance problems. In many cases, the formula is necessary. The good news is that it's pretty easy to remember.</p>
<p>$$Distance = Rate \times Time$$</p>
<p><strong><span style="color:#8e44ad;">Example 1</span></strong></p>
<p>If John covers $32$ miles in $5$ hours, what was his average speed in mph during the trip?</p>
<p>$$32 = r \times 5$$</p>
<p>$$r = \frac{32}{5} = 6.4 \ mph$$</p>
<p><strong><span style="color:#8e44ad;">Example 2 (with unit conversion)</span></strong></p>
<p>If John rides his bike at a constant rate of $6$ meters per second, how many kilometers does he cover in two hours? </p>
<p>In this case, we have to convert the units so that it all makes sense.</p>
<p>$$rate = 6 \frac{m}{s} \times (\frac{1 \ km}{1000 \ m})(\frac{3600 \ s}{1 \ hour}) = 21.6 \frac{km}{h}$$</p>
<p>We can then plug that value into our distance formula to get:</p>
<p>$$distance = 21.6 \times 2 = 43.2 \ kilometers$$</p>
<p>That's not bad for two hours!</p>