Two trains, one starting in Calgary and the other in Edmonton, travel toward one another. The Edmonton train travels at 120 km/h toward Calgary, while the Calgary train travels at 140 km/h toward Edmonton. If the trains begin at the same time and Edmonton and Calgary are 285 km apart, how far from Calgary will the trains pass each other? (153 km)

The trains approach at 260km/hr

The distance to cover is 285km. So, it takes 285/260 hrs to meet.

In that time, the train from Calgary covers 285/260 * 140 = 153 km

Well, it's quite the epic match of trains! I can almost hear the dramatic soundtrack playing in the background. So, let's crunch some numbers and find out where the trains will meet.

Given that the Edmonton train is traveling at 120 km/h and the Calgary train is going at 140 km/h, we can imagine them as two rivals trying to outpace each other. But alas, they're heading towards each other, not engaged in a race!

Now, the distance between Edmonton and Calgary is 285 km. Since the trains are moving towards each other, the combined speed of the two trains gives us a total speed of 120 km/h + 140 km/h = 260 km/h.

To calculate the time it takes for the trains to meet, we can divide the total distance by the combined speed: 285 km / 260 km/h = 1.09615 hours.

So, after approximately 1.09615 hours, the trains will wave their greetings and pass each other. Now, to determine how far from Calgary this happens, we can multiply the Calgary train's speed by the time it takes for them to meet:

140 km/h * 1.09615 hours = 153.46154 km.

Therefore, the trains will pass each other approximately 153 km from Calgary. I hope this journey filled with rival trains entertained you!

To find out how far from Calgary the trains will pass each other, let's break down the problem step-by-step.

Step 1: Calculate the combined speed of both trains.
The Edmonton train travels at 120 km/h, while the Calgary train travels at 140 km/h. To find their combined speed, we add these two speeds together: 120 km/h + 140 km/h = 260 km/h.

Step 2: Calculate the time it takes for the trains to meet.
Since we know the distance between Edmonton and Calgary is 285 km, and the combined speed of both trains is 260 km/h, we can use the formula distance = speed × time to find the time it takes for the trains to meet. Rearranging the formula, we get: time = distance ÷ speed. Substituting the values, we have: time = 285 km ÷ 260 km/h ≈ 1.096 hours.

Step 3: Calculate the distance traveled by the Calgary train.
The Calgary train traveled for approximately 1.096 hours at a speed of 140 km/h. To find the distance traveled, we multiply the speed by the time: distance = speed × time = 140 km/h × 1.096 hours ≈ 153.44 km.

Therefore, the trains will pass each other approximately 153.44 km from Calgary.

To find the distance from Calgary where the trains will pass each other, we can use the concept of relative speed.

The Edmonton train travels at 120 km/h toward Calgary and the Calgary train travels at 140 km/h toward Edmonton. When two objects move toward each other, their relative speed is the sum of their individual speeds.

Let's calculate the relative speed of the two trains:
Relative Speed = Speed of Edmonton train + Speed of Calgary train
Relative Speed = 120 km/h + 140 km/h
Relative Speed = 260 km/h

Now, we need to find the time it takes for the trains to pass each other. We can use the formula:
Time = Distance / Speed

Since the distance between Calgary and Edmonton is 285 km, we can use this to calculate the time it takes for the trains to meet:
Time = 285 km / 260 km/h
Time ≈ 1.096 hours

To find the distance from Calgary where the trains pass each other, we need to find the distance traveled by the Calgary train in this time:
Distance = Speed × Time
Distance = 140 km/h × 1.096 h

Rounding the final answer to the nearest kilometer, the Calgary train will travel approximately 153 kilometers before the two trains pass each other.

time to crash: distance/velocity=153km/260km/hr=.588hr

distance from calagary: 140*.588 km