Difficult Riddles

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What is significant about 3661 seconds past midnight on 1st January 2001?
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Can you combine plus signs and five 2’s to get 28? Can you combine plus signs and eight 8’s to get 1,000?
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One fourth of the population of a newly discovered planet have 4 legs. The rest have two legs. There are 60 legs total. How big is the population of the newly discovered planet?
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Eight years ago, Bill was eight times the age of his son Bill Jr. Today, if you add their ages together, they add up to 52. How old are Bill and his son?
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There are two numbers whose product added to the sum of their squares is 109, and the difference of whose squares is 24. What are the two numbers?
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Two schoolgirls were traveling from the city to a dacha (summer cottage) on an electric train. “I notice,” one of the girls said “that the dacha trains coming in the opposite direction pass us every 5 minutes. What do you think-how many dacha trains arrive in the city in an hour, given equal speeds in both directions?” “Twelve, of course,” the other girl answered, “because 60 divided by 5 equals 12.” The first girl did not agree. What do you think?
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