Afreight train travels at 30 mph. if the freight train is 300 miles ahead of an express train traveling at 55 mph, how long will the express train take to overtake the freight train? if x represents the distance the train traveling 30 mph travels, then the train traveling 55 mph travels x miles x + 300 miles x - 300 miles

x+300

Step-by-step explanation:

In first question: Express train takes 12 seconds to overtake the freight train.

In second question: The train travelling 55 mph will cover x + 300 miles.

Step-by-step explanation:

Here, the freight train travels at 30 mph.

And, the express train traveling at 55 mph,  

Therefore, The relative speed of both trains = 55 - 30 = 25 mph

But, the relative distance = 300 miles ( according to the question )

Thus, the time after which the express train will take to overtake the freight train = The relative distance / relative speed = 300/25 = 12 hours.

That is, After 12 hours the Express train will overtake the freight train.

In 12 hours, the distance covered by freight train = 12 × 30 = 360 miles

And the distance covered by the Express train = 12 × 55 = 660 miles

The difference between their covered distance in 12 hours = 660 - 360 = 300 miles

But x represents the distance the train traveling 30 mph travels,

Thus, x = 360 miles and x + 300 = 660 miles

⇒ The train travelling 55 mph will cover x + 300 miles.