# A problem on geometric probability

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Two persons, A and B, agree to meet at a place between 10 a.m to 11 a.m. The first one to arrive waits for 20 minutes and then leave. If the time of their arrival is independent and at random, what is the probability that A and B meet?

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## SOLUTION This solution is **FREE** courtesy of BrainMass!

Let A and B arrive at the place of their meeting x minutes and y minutes after 10 a.m.

Then they will meet if

Then the area representing the favourable cases

= Area OPQBRS = 2000sq.units.

Total area = 3600sq. units

Required probability =

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