Two cars, 540 kilometers apart, begin driving toward each other on a long, straight highway. one car travels 75 kilometers per hour and the other 105 kilometers per hour. at the same time, a canary, starting on one car, flies back and forth between the two cars as they approach each other. if the canary flies 100 kilometers per hour and spends no time to turn around at each car, how far has it flown when the cars collide?

One car travels at a speed of 75 kilometers per hour and the other car travels at a speed of 105 kilometers per hour.

Since both the cars are travelling towards each other their combined speed will be: 75+105=180 km/h.

Now, since the distance between the cars to start with is 540 km. Therefore, the time taken before the cars collide is:

hours.

Now, the speed of the canary is 100 km/h.

Therefore, the Canary flies flies for (100 km/h)x(3 hours) = 300 km before the cars collide.