Two trains leave stations 468 miles apart at the same time and travel toward each other. One train travels at 85 miles per hour while the other travels at 95 miles per hour. How long will it take for the two trains to meet?

2.6 hours

2 hours 36 minutes.

Step-by-step explanation:

Let the time be x hours

we know

distance = speed*time

speed of one train = 85 miles/hour

time = x hours

distance traveled by one train = 85*x = 85x miles

speed of one train = 95 miles/hour

time = x hours

distance traveled by other  train = 95*x = 95x miles

Given that

Two trains leave stations 468 miles apart at the same time and travel toward each other

Thus, together cover 468 miles.

distance traveled by one train + distance traveled by other train = 468

85x+95x = 468

=> 180x = 468

=> x = 468/180 = 2.6

Thus, it will take 2.6 hours to meet each other

we know 1 hour = 60 minutes

0.6 hour = 60*0.6 minutes = 36 minutes

Thus, we can also say that it took 2 hours 36 minutes to meet each other.

explanation:

previous steps have made pa≅ pb ≅ st ≅ su. setting the compass width to ab allows you to make tu the same length. then δstu ≅ δpab by the sss congruence postulate, and ∠p ≅ ∠s by the reason cpctc.