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Stan's Cassette (Posted on 2004-04-27) Difficulty: 3 of 5
Stan likes music, and likes oldies the best. In his collection of music he has a cassette tape of “The Cassettes 20 Greatest Hits”. The amazing thing about the 20 Greatest Hits, is that each hit is exactly 3 minutes long. This fits perfectly on a 60-minute tape.

Songs 1 – 10 are on Side A, while 11 – 20 are on Side B. When listening to the tape, Stan does one strange thing. He listens to the first 5 songs on side A, then flips it to the other side. He then listens to Side B from that point until the tape ends. How many songs does Stan hear?

  • The tape is wrapped around two spools that have identical diameters of 1 cm.
  • The spool that is receiving the tape rotates at a constant speed.
  • The tape, when located all on one spool, measures 5 cm in diameter.

See The Solution Submitted by Leming    
Rating: 3.0909 (11 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Some Thoughts re: assumptions | Comment 3 of 17 |
(In reply to assumptions by Larry)

I think that is right, even more than Larry does. Here is a quote from his comment:

"If the 60 minute tape has 60 minutes in each direction, then it depends on where Stan put all the songs in the first place.  If he used the first 30 minutes of side A then the last 30 minutes of side B, then the answer is the same.  If all 20 songs are on side A, then side B would be blank.  I suspect this is not the case since the problem states that the music 'fits perfectly on a 60-minute tape'.",

and here is a quote from the problem:

"Songs 1 – 10 are on Side A, while 11 – 20 are on Side B."

I think my point is evident. :-|

Edited on April 27, 2004, 3:39 pm
  Posted by BUM on 2004-04-27 15:37:26

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