Monkey Raptor V.2

This is an exaggerated math words problem. It looks like this: Hangar A and B are separated 190 miles apart. Ted, from Hangar A, drove a jet landsubmarinewithwheels to Hangar B and met Gunther, which rode a breathingscooterwithfeet, from Hangar B to Hangar A, at certain point between the two hangars. They both didn't start to travel at the same time. Gunther was earlier than Ted. When they met, Gunther had traveled for twice the length of time as Ted and at two-fifteenth rate of Ted's speed. How many miles had Ted driven the jet landsubmarinewithwheels when they met? So, there are two options. The first one is to not do the problem and stare at blank 🥳 Second is the typing below . Linear motion There was no acceleration being mentioned in the problem, so they must travel in (uniform) linear motion — with constant velocity . Also, because the paths of both were not mentioned, we shall assume they went in a straight line. In linear motion, the relationship bet...

This is from 2003 AMC (American Mathematics Competitions). The problem looks like this: How many perfect squares are divisors of the product 1! • 2! • 3! • 4! • 5! • 6! • 7! • 8! • 9!? (A) 504 (B) 672 (C) 864 (D) 936 (E) 1008 The exclamation after the number means factorial . For instance, 3! = 1 • 2 • 3 = 6. Let's break the sequence The multiplication of that factorial sequence above looks like so: 1 • 1 • 2 • 1 • 2 • 3 • 1 • 2 • 3 • 4 • 1 • 2 • 3 • 4 • 5 • 1 • 2 • 3 • 4 • 5 • 6 • 1 • 2 • 3 • 4 • 5 • 6 • 7 • 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 🤺 I use middle dot (•) as the multiplication operator (usually ×) to make it consistent with the title above. Perfect Square It is a number (prime or composite — in this case, a positive integer) with (positive) even exponent (0 is also even ). For example: 2 2 or 6 4 or 14 0 and such. Prime It The sequence above can be grouped into only prime numbers (such as in prime fact...