Explanation for Question 16 From the Math (No Calc) Section on the 2019 October Sat
Now looking at number 16, we're told that on a 210 mile trip, 2 Cameron drove an average of 60 miles per hour for the first X hours, 3 and then completed the drip, the trip driving 50 miles per hour for the 4 remaining Y hours. And so if X equals one, 5 what is the value of Y? And so what we really see here is 6 that we have an X hours, right, for the first part of our trip 7 and that he drove one hour on the first part of our trip. 8 So let's go ahead. Let's draw a picture. Well, 9 represent the trip as a rectangle that we split into two parts, 10 right? A part that's X and a part that's Y. 11 And that first part is one hour. But the question really is how 12 many miles did we drive in that first part? 13 Right? Because we have more information about the miles of the trip. 14 We know that everything is 210. 15 So if we can find the miles on the first part, 16 we can then find the miles on. The second part, 17 Butch will help us determine why. So if Cameron drove 60 18 miles per hour for the first part, 19 and he drove for one hour, right, 20 we can multiply those together so that we see that the hours cancel and 21 see that we, he, he drove 60 miles for that first part of the 22 trip, 60 miles. 23 So that means that the remainder of the miles were driven in part why? 24 So we can do two, 10 minus 61 25 and see that he had 150 miles left to drive in part why. 26 And so you might be tempted to make 150 your answer. 27 But what we need to notice here is that we're not asked for...