Question

Skyler is 104 miles away from Marcus. They are traveling towards each other. If Marcus travels 8 mph faster than skyler and they meet after 4 hours, how fast was each traveling?

Answer 1

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:

$distance = \frac{speed}{time\ taken}\\\\104 = \frac{8+2x}{4}\\\\104 \times 4 = 8 + 2x\\\\8 + 2x = 416\\\\2x = 416-8\\\\2x = 408\\\\x = 204$

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