Question

Zack leaves Basketball practice and decides to walk home. He is walking at a constant speed of 0.50 m/s. His twin brother Cody sees him and decides he is going to sneak up on Zack and prank him. He quietly jogs at a constant speed of 1.5 m/s and is 330 meters behind Zack. How long will it take (in seconds) Cody to catch up to Zack?

Option 1: 220 seconds
Option 2: 220 minutes
Option 3: 220 hours
Option 4: 22 seconds

Answer 1

Cody will take 330 seconds to catch up to Zack.

Step-by-step explanation:

To find out how long it will take Cody to catch up to Zack, we need to determine how long it will take for Cody to cover the 330 meters between them. Cody's speed is 1.5 m/s and Zack's speed is 0.50 m/s. So, the relative speed between them is 1.5 m/s - 0.50 m/s = 1.0 m/s. To cover the 330 meters, it will take Cody 330 meters / 1.0 m/s = 330 seconds. Therefore, Option 1: 220 seconds is the correct answer.