Question

Trymaine is 272 miles away from Aaliyah. They are traveling towards each other. If Aaliyah travels 4 mph faster than trymaine and they meet after 8 hours, how fast was each traveling.

Answer 1

Trymaine was traveling at 15 mph

Aaliyah was traveling 19 mph

Explanation:

Let's denote Trymaine's speed as "T" mph and Aaliyah's speed as "T + 4" mph (since Aaliyah is traveling 4 mph faster than Trymaine).

When they are traveling towards each other, their combined speeds add up. So, the equation that represents their relative distance covered when traveling towards each other is:

Distance = Speed × Time

For Trymaine:

Distance covered by Trymaine = Trymaine's speed × Time = T × 8 hours

For Aaliyah:

Distance covered by Aaliyah = Aaliyah's speed × Time = (T + 4) × 8 hours

Since they are meeting each other, the sum of their distances covered should equal the total distance between them, which is 272 miles:

T × 8 + (T + 4) × 8 = 272

Simplify the equation:

8T + 8T + 32 = 272

16T + 32 = 272

16T = 240

T = 240 / 16

T = 15

So, Trymaine was traveling at 15 mph, and Aaliyah was traveling 4 mph faster, which is 15 + 4 = 19 mph.