Alice travels 6 mph less than 2 times as fast as Mike starting at the same point and traveling in the same direction they are 187 miles apart after 5.5 hours find their speeds
Let's say Mike's speed is x mph.
According to the given information, Alice's speed is 2x - 6 mph.
The distance Mike travels in 5.5 hours is 5.5x miles.
The distance Alice travels in 5.5 hours is 5.5(2x - 6) miles.
Since they are 187 miles apart, we can set up the equation:
5.5x + 5.5(2x - 6) = 187
Expanding the equation:
5.5x + 11x - 33 = 187
Combining like terms:
16.5x - 33 = 187
Adding 33 to both sides:
16.5x = 220
Dividing both sides by 16.5:
x = 13.33
Mike's speed is approximately 13.33 mph.
Alice's speed is 2 * 13.33 - 6 = 20.67 mph.