Question 1163098
Two cars leave the same point. One travels north at 45 mph and the other travels east at 60 mph. How many miles will each other be within 20 minutes?
<pre>The scenario represents a right-triangle, with the distance each had traveled after 20 minutes being the legs of the right-triangle, while the distance between them 
after 20 minutes represents the hypotenuse of the right-triangle
After the slower car had traveled for 20 minutes, it’d covered {{{matrix(1,6, (20/60)45, "=", (1/3)45, "=", 15, miles)}}}  
After the faster car had traveled for 20 minutes, it’d covered {{{matrix(1,6, (20/60)60, "=", (1/3)60, "=", 20, miles)}}}
We then have a right-triangle with legs 15 and 20, and the hypotenuse is needed. The legs being 15 and 20 represent a 3-4-5 PYTHAG TRIPLE, TIMES 5, or a 
3(5)-4(5)-5(5) = 15-20-25 PYTHAG TRIPLE. Therefore, hypotenuse or distance between the 2 cars, after {{{matrix(1,5, "20,", mins, or, 1/3, hour)}}} = {{{highlight_green(matrix(1,2, 25, miles))}}}.