To solve the equation, we can factor the quadratic expression. We are looking for two numbers that add up to -5 and multiply to 6. These numbers are -2 and -3. Therefore, we can write the equation as (x - 2)(x - 3) = 0.

The area of a triangle is given by the formula A = (1/2) * base * height. Substituting the given values, we get A = (1/2) * 10 cm * 8 cm = 40 sq cm.

The probability of selecting a blue ball is the ratio of the number of blue balls to the total number of balls in the bag. There are 3 blue balls and a total of 5 + 3 + 2 = 10 balls in the bag. Therefore, the probability of selecting a blue ball is 3/10.

Let x be the length of the other leg of the right triangle. According to the Pythagorean theorem, we have x^2 + 6^2 = 10^2. Solving for x, we get x^2 = 100 - 36 = 64. Therefore, x = 8 cm.

To find the time at which the second train will overtake the first train, we need to calculate the relative speed between the two trains. The relative speed is the difference between the speeds of the two trains, which is 75 mph - 60 mph = 15 mph. The distance between the two trains at 11:00 AM is the distance traveled by the first train in one hour, which is 60 mph * 1 hour = 60 miles. Therefore, the second train will overtake the first train after traveling 60 miles at a relative speed of 15 mph. This will take 60 miles / 15 mph = 4 hours. Since the second train leaves at 11:00 AM, it will overtake the first train at 11:00 AM + 4 hours = 12:30 PM.