Two cars started a journey on the same road from opposite starting points. The speed of the first car is 120 km/h and the speed of the other car is 60 km/h. If it takes the first car 9 hours to cover half the distance, how long will it take the second car to cover the same distance?

18 hours

Step-by-step explanation:

first of all, this is already intuitively clear. the first car is going twice as fast than the second car, so it will take the second car always twice as much time for the same distance.

so, it is 9×2 = 18 hours.

but let's look at it a bit more theoretically, in case there are less intuitive numbers involved.

the first car is driving with 120km/h for 9 hours so the distance traveled is 120×9 = 1080 km.

now for the second car to travel the same distance while going 60km/h is then how often these 60 km fit into the overall 1080 km. then we know the number of hours.

1080 / 60 = 108 / 6 = 18 hours.

2

step-by-step explanation:

a reflection across the x-axis , followed by the by a reflection across the y-axis , and then a scale dilation of 0.5 .