Answer:Corey was travelling at 9 miles per hour and Tom was travelling at 13 miles per hour.
Explanation:
Let x represent Corey's speed.
If Tom travels 4 mph faster than Corey, it means that Tom's speed would be (x + 4) mph
Corey is 176 miles from Tom and they are traveling towards each other. If they meet after 8 hours, it means that they travelled a total distance of 176 miles in 8 hours.
Distance = speed × time
Distance travelled by Corey in 8 hours would be
8 × x = 8x miles
Distance travelled by Tom in 8 hours would be
8(x + 4) = (8x + 32) miles
Since the total distance travelled by Tom and Corey is 176 miles, then
8x + 8x + 32 = 176
16x = 176 - 32 = 144
x = 144/16 = 9 miles per hour
Tom's speed would be
9 + 4 = 13 miles per hour