Two particles heading toward each other

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Two particles are initially 0.70 km apart and move towards each other at speeds of 2.5 m/s and 4.5 m/s. They close the distance at an effective speed of 7 m/s, resulting in a meeting time of 100 seconds, or 1.67 minutes. The meeting point is 250 meters from the slower particle's starting position and 450 meters from the faster particle's starting position. The calculations confirm the time and location of their meeting accurately. This analysis effectively solves the problem presented.
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Homework Statement


The initial distance between two particles is 0.70 km. The particles head towards each other at speeds of 2.5 m/s and 4.5 m/s, respectively.

Homework Equations


a)When will they meet?
b)Where will the meeting take place?

The Attempt at a Solution


a)
they are closing at a speed of 2.5+4.5=7m/s (which we call the effective speed)
t=700/7 = 100 s.
so they will meet after 1.67 mins.

b)
x1=2.5*100=250m
x2=4.5*100=450m
the meeting will take place 250m from where the slower particle started and 450m from where the faster particle has started.
 
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