Question

A train leaves Little​ Rock, Arkansas, and travels north at 75 kilometers per hour. Another train leaves at the same time and travels south at 60 kilometers per hour. How long will it take before they are 405 kilometers​ apart?

Answer 1

Explanation:

The two trains are moving in opposite directions, so the distance between them will increase at a rate of 75 km/h + 60 km/h = 135 km/h.

Let's use "t" to represent the time it takes for the trains to be 405 km apart. We can use the formula:

distance = rate × time

To solve for "t", we can set the total distance between the trains to be 405 km and the combined rate of the trains to be 135 km/h:

405 km = 135 km/h × t

Now we can solve for "t" by dividing both sides of the equation by 135 km/h:

t = 405 km ÷ 135 km/h

t = 3 hours

Therefore, it will take 3 hours for the two trains to be 405 kilometers apart.