Question

A dog is chasing a cat towards a tree. The cat has a 10-meter lead and runs at a speed of 6 meters per second. The dog runs at a speed of 8 meters per second. The tree is 30 meters away from the dog’s starting position. Which animal will reach the tree first

Answer 1

After calculating the time it takes for both the cat and the dog to reach the tree, the cat will arrive first in 3.33 seconds, while the dog will take 3.75 seconds.

Step-by-step explanation:

To determine which animal will reach the tree first, we can calculate the time it takes for each to cover the distance to the tree. Starting with the cat, it has a 10-meter lead and is running at a speed of 6 meters per second. The tree is 20 meters away from the cat's starting position (30 meters from the dog's position minus the 10-meter lead). The time it takes for the cat to reach the tree is thus calculated by dividing the distance by the cat's speed:

Time for cat = Distance / Speed = 20 meters / 6 m/s = 3.33 seconds

Now for the dog, who starts 30 meters from the tree and runs at 8 meters per second, the time it takes for the dog to reach the tree can be calculated similarly:

Time for dog = Distance / Speed = 30 meters / 8 m/s = 3.75 seconds

Since it takes the cat 3.33 seconds to reach the tree and the dog 3.75 seconds, the cat will reach the tree first.