Question

troy is chasing his little brother kyle, but kyle got a 30 second head start. if kyle is traveling at 2 feet per second on his tricycle and troy is traveling at 5 feet per second on his skateboard, how many seconds will it be before troy catches kyle?

Answer 1

incorrect, the answer is not 12 seconds

Answer 2

Let x be the number of seconds before Troy catches Kyle.

Since Kyle had a 30 second head start, he will have traveled 30*2 = 60 feet by the time Troy starts chasing him.

Since Troy is traveling at 5 feet per second, the distance he needs to cover to catch Kyle is 60 feet.

We can set up the equation: 5x = 60

Dividing both sides by 5, we get x = 12

So, it will take Troy 12 seconds to catch Kyle.

Answer 3

Apologies for the mistake. Let's correct the solution.

Since Kyle had a head start of 30 seconds, he will have traveled 30 * 2 = 60 feet before Troy starts chasing him.

Now, we need to find the time it takes for Troy to catch up to Kyle.

Let the time taken to catch up be x seconds.

In x seconds, Troy will travel 5x feet and Kyle will travel 60 + 2x feet.

For Troy to catch up to Kyle, we need to solve the equation:

5x = 60 + 2x

Subtracting 2x from both sides, we get:

3x = 60

Dividing by 3:

x = 60 / 3

x = 20

Thus, it will take Troy 20 seconds to catch up to Kyle.