Really Hard Math Puzzles

CD Track Lengths

The latest release the group Prime Players Three consists of three CDs. Each has a different playing time. Each CD has four tracts and a total playing time of not more that one hour. The four tracks on any one of these CDs each last a prime number of minutes and each one is a different length. Any combination of the three different tracks on any one of the CDs plays for a prime number of minutes.

What are the lengths in minutes of the track on these three CDs?

Thank you Andrew Gibbons (New Scientist)

Click to find the answer to this math puzzle.

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