# A problem on geometric probability

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 Preview

Let A and B arrive at the place of their meeting x minutes ...

#### Solution Summary

Use of inequalities and geometric aspect of sample space and favorable events space are explained in the solution.

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