Two mathematicians take a morning coffee break each day. They arrive at the cafeteria independently, at random times between 9 a.m. and 10 a.m., and stay for exactly 
mintues. The probability that either one arrives while the other is in the cafeteria is 
and 
where 
and 
are positive integers, and is not divisible by the square of any prime. Find 
mintues. The probability that either one arrives while the other is in the cafeteria is and where and are positive integers, and is not divisible by the square of any prime. Find 
87 a=60, b=12,c=15
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