Two trains are on the same track a distance 300 km apart heading towards one another, One at a speed of 150 km/h and other at a speed of 50 km/h. A fly starting out at the front of one train, flies towards the other at a speed of 600 km/h. Upon reaching the other train, the fly turns around and continues towards the first train. How many kilometers does the fly travel before getting squashed in the collision of the two trains?
How fast is the fly? (600km/h)
How long has the fly been flying before the trains collide? (300km/(150+50))=1.5 hours
So how far has the fly travelled?
900km
To find out how many kilometers the fly travels before getting squashed in the collision of the two trains, we can calculate the time it takes for the trains to collide.
Let's denote the distance between the two trains as D = 300 km.
The relative speed of the two trains is the sum of their individual speeds, which is 150 km/h + 50 km/h = 200 km/h.
So, the time it takes for the trains to collide can be found by dividing the distance between them by their relative speed:
Time = Distance / Speed
Time = 300 km / 200 km/h
Time = 1.5 hours
Now that we have the time it takes for the two trains to collide, we can calculate the distance the fly covers during this time.
The fly travels towards the other train at a speed of 600 km/h, so in 1.5 hours, it covers a distance of:
Distance = Speed * Time
Distance = 600 km/h * 1.5 hours
Distance = 900 km
Therefore, the fly travels 900 kilometers before getting squashed in the collision of the two trains.
To find out how many kilometers the fly travels before getting squashed, we need to determine the time it takes for the two trains to collide.
First, let's find the time it takes for the two trains to collide.
The relative speed of the trains is the sum of their speeds, which is 150 km/h + 50 km/h = 200 km/h.
The time it takes for the two trains to collide is the distance between them divided by their relative speed.
300 km / 200 km/h = 1.5 hours
Now we know that the fly has 1.5 hours to travel before the collision.
The speed of the fly is 600 km/h. We can use the formula:
Distance = Speed × Time
Distance = 600 km/h × 1.5 hours
Distance = 900 km
Therefore, the fly travels 900 kilometers before getting squashed in the collision of the two trains.