Interference of two radio waves

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Constructive interference occurs when the path difference between two coherent radio wave sources equals an integer multiple of the wavelength. For two sources A and B, 5 meters apart with a wavelength of 6 meters, the equation r1 - r2 = mλ can be applied, where r1 is the distance from A to the interference point and r2 is the distance from that point to B. The solution indicates that at 2.5 meters from source A, constructive interference occurs, aligning with the condition for m = 1. The equation can be utilized with different integer values for m to find additional points of constructive interference. Understanding the application of this equation is crucial for solving similar problems effectively.
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Homework Statement



Two coherent sources of radio waves, A and B, are 5.00 meters apart. Each source emits waves with wavelength 6.00 meters. Consider points along the line connecting the two sources.

At what distance from source A is there constructive interference between points A and B?

Homework Equations



Let P be the point of constructive interference:

r_1 - r_2 = m\lambda where r_1 is the distance from A to P and r_2 is the distance from P to B.

These were the hints given, and don't make sense.

The Attempt at a Solution



I got the answer of 2.5 metres by drawing a diagram and estimating where the two waves would cross (constructive interference). The answer was correct, a lucky guess...

I don't know how to apply that equation. Does it need to be applied twice? For m I would use the value of 1?
 
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m could be any integer, not just 1.

Try m = 0 or 1, and see what you can come up using your equation,

r1 - r2 = m λ​
 

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