This question is based on the speed distance and time. Therefore, it will take 28.8 miles for the two trains to meet.
Given:
Two trains leave stations 288 miles apart at the same time and travel towards each other. One train travels at 95 miles per hour while the other travels at 85 miles per hour .
We need to determined distance will it take for the two trains to meet.
Let x be the distance.
According to the question,
Now adding 288 miles to any side, it just shows that they're 288 miles apart.
95x = 85x +288
10x = 288
28.8 = x
It'll take 28.8 hours for the trains to meet.
⇒ 28.8×95 = 2,736
⇒ 28.8×85 = 2,448
Now substracting both 2,736 and 2,448.
We get,
⇒ 2,736-2,448
⇒ 288 miles
Therefore, it will take 28.8 miles for the two trains to meet.
For more details, prefer this link:
https://brainly.com/question/21791162
