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Hillary is 224 miles away from Molly. They are traveling towards each other. If Molly travels 4 mph faster than Hillary and they meet after 8 hours, how fast was each traveling?

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Final answer:

Hillary was traveling at a speed of 12 mph, and Molly was traveling at a speed of 16 mph.

Step-by-step explanation:

To solve this problem, we can create an equation using the formula Distance = Rate x Time. Let's assume that Hillary's speed is x mph. Since Molly travels 4 mph faster than Hillary, Molly's speed will be (x+4) mph.

Since they are traveling towards each other, their combined distance will be 224 miles. So, we can set up the equation 8x + 8(x+4) = 224 to represent the total distance traveled by both of them over 8 hours.

Simplifying the equation, we get 8x + 8x + 32 = 224. Combining like terms, we get 16x + 32 = 224. Subtracting 32 from both sides, we get 16x = 192. Dividing both sides by 16, we get x = 12.

Therefore, Hillary was traveling at a speed of 12 mph, and Molly was traveling at a speed of 16 mph.

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