SOLUTION: 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?

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    |    How far will be one car from another in 20 minutes ?  |
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If so, then you have a right angled triangle.

Its legs are   = 15 miles  and

               = 20 hours,

and "how far" is then the hypotenuse of this right angled triangle.


So, the distance is   =  =  = 25 miles.


Notice that the triangle is, actually, (3,4,5)-triangle with the legs 15 and 20 miles, 
so you can get the answer of 25 miles practically MENTALLY.

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   

After the faster car had traveled for 20 minutes, it’d covered 

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  = .