Two trains leave Raleigh at the same time, one traveling north, the other south. The first train travels at 50 miles per hour and second at 60 miles per hour. In how many hours will the trains be 275 miles apart?

2.5 hours

good job

Two trains leave the station at the same time, one heading west and the other east. The westbound train travels

14
miles per hour slower than the eastbound train. If the two trains are
300
miles apart after
2
hours, what is the rate of the westbound train?

No

What's the inequality though?

2 11/22 hours

You are meeting a friend who lives 285 miles away. You both leave at the same time and head directly toward each other. You travel at a speed 10 mph faster than your friend. You finally meet after each traveling for 5 hours. What was your speed, in mph, to the nearest tenth?

To find out how many hours it will take for the trains to be 275 miles apart, we need to divide the distance by the combined speed of the two trains.

Let's denote the time it takes for the trains to be 275 miles apart as 't' hours.

The distance traveled by the first train is given by: 50t miles.
The distance traveled by the second train is given by: 60t miles.

To find the total distance between the two trains, we need to add up the distances traveled by both trains:
Distance = Distance traveled by first train + Distance traveled by second train
275 = 50t + 60t

Now let's simplify the equation:
275 = 110t

We need to solve this equation for 't'. Dividing both sides of the equation by 110, we have:
t = 275 / 110

Evaluating the right-hand side of the equation, we find:
t = 2.5

Therefore, it will take 2.5 hours for the two trains to be 275 miles apart.

let the time be t hours

distance going north = 50t
distance going south = 60t

solve 50t + 60t = 275

let me know what you get.