Race Between Two Cars

Requirements Clarification & Assessment

Before diving into the solution, it's crucial to clarify and assess the requirements of the problem:

1. Understanding the Problem Statement:

   • Two cars start from the same location but at different times and speeds.
   • The first car travels at 60 mph, and the second car starts an hour later at 80 mph.
   • The goal is to determine how long it will take for the second car to catch up to the first car.

2. Assumptions:

   • Both cars travel in the same direction on a straight path.
   • The speeds given (60 mph and 80 mph) are constant throughout the journey.
   • The time taken for the second car to catch up is measured from the moment the first car starts its journey.

3. Clarifications Needed:

   • Are there any external factors like traffic or road conditions affecting the speeds?
   • Is there any need to account for acceleration time, or can it be assumed that the cars reach their speeds instantaneously?

4. Constraints:

   • The solution should be calculated using basic algebraic equations.
   • The problem assumes ideal conditions without external influences.