Speed of skyler is 204 mph and speed of marcus is 212 mph
Solution:
Skyler is 104 miles away from Marcus
Therefore,
Distance = 104 miles
They meet after 4 hours
Time taken = 4 hours
Let "x" be the speed of sklyer
Marcus travels 8 mph faster than skyler
Therefore,
Speed of marcus = 8 + x
They are traveling towards each other
Since they are traveling towards each other, we can add up their speeds
Speed = x + 8 + x = 2x + 8
The distance is given by formula:
[tex]distance = \frac{speed}{time\ taken}\\\\104 = \frac{8+2x}{4}\\\\104 \times 4 = 8 + 2x\\\\8 + 2x = 416\\\\2x = 416-8\\\\2x = 408\\\\x = 204[/tex]
Thus speed of skyler = x = 204 mph
Speed of marcus = 8 + x = 8 + 204 = 212 mph
Thus speed of skyler is 204 mph and speed of marcus is 212 mph
