Question

Corey is 176 miles from Tom. Traveling towards each other. If Tom travels 4 mph faster than Corey and they meet after 8 hours, how fast wash each traveling.

Answer 1

Answer:Corey was travelling at 9 miles per hour and Tom was travelling at 13 miles per hour.

Step-by-step 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