A train leaves Little​ Rock, Arkansas, and travels north at 55 kilometers per hour. Another train leaves at the same time and travels south at 55 kilometers per hour. How long will it take before they are 330 kilometers​ apart?

The two trains are traveling in opposite directions, so their velocities are added together: 55 km/h + 55 km/h = 110 km/h.

The distance between the two trains is decreasing by this combined speed: 330 km.

To find the time it takes for the trains to be 330 km apart, we can use the formula: time = distance / speed.

time = 330 km / 110 km/h = 3 hours.

Therefore, it will take 3 hours before the two trains are 330 kilometers apart.

To find out how long it will take for the two trains to be 330 kilometers apart, we need to calculate the total distance each train has traveled.

The trains are traveling in opposite directions, so their distances are adding up.

Let's represent the time it takes for the trains to be 330 kilometers apart as "t" in hours.

The distance the first train has traveled can be calculated as:

Distance = Speed * Time
Distance = 55 km/hr * t hr

The distance the second train has traveled can also be calculated as:

Distance = Speed * Time
Distance = 55 km/hr * t hr

Since the distances of the two trains are adding up to 330 kilometers, we can write the equation:

55 km/hr * t hr + 55 km/hr * t hr = 330 km

Simplifying the equation:

110 km/hr * t hr = 330 km

Dividing both sides of the equation by 110 km/hr:

t hr = 330 km / 110 km/hr

t hr = 3 hours

Therefore, it will take 3 hours for the two trains to be 330 kilometers apart.

To find out how long it will take before the two trains are 330 kilometers apart, we can use the formula:

Distance = Rate × Time

Since one train is traveling north and the other south, their speeds add up. So, the combined rate is:

55 km/h + 55 km/h = 110 km/h

Let's call the time it takes for the trains to be 330 kilometers apart "t" hours. Now, we can set up the equation:

330 km = 110 km/h × t

To solve for t, we can divide both sides of the equation by 110:

330 km ÷ 110 km/h = t

3 hours = t

Therefore, it will take 3 hours for the two trains to be 330 kilometers apart.