Velocity Problem: John & Derek Meet - Solved in 2 hrs

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John starts biking at 18 km/hr, while Derek begins his motorcycle trip two hours later at 72 km/hr. To determine where they meet, the distance equations for both are set equal. After calculating the distance John travels in two hours, the time for both to meet is derived. The solution involves solving for time and then computing the distance traveled by each to find their meeting point. The problem is effectively solved using relative speed and distance equations.
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Homework Statement


John is on a bike starts his trip at a speed of v=18km/hr and two hours later Derek is on a motorcycle follows at a speed of 72km/hr. How far away from the start point they will meet? How is this problem solved?

Homework Equations

The Attempt at a Solution

 
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Express d(t) for each moving object.

Set them equal.

Solve for t.

Compute d(t) at that time.
 
V=x/t.So use this formula to reach "How many meter john travel in 2 hours"
Lets call it ##x_1##.Now the time pass same both of them.
##x_1##+VJohntJohn=VDerektDerek
Use this equation to find solution.
 

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