Lizzy: Debra is the host of a country music radio show, and she broadcasts interviews with celebrity country music singers. Each week, she interviews three singers, one at a time. The first interview segment is always twice as long as the other two segments combined, and the third interview segment is always half as long as the second. If the third segment is 10 minutes long, how many minutes long is the entire show?.
Me: Hmmm, let me think. I think this is the detailed solution:
If the third segment is half as long as the second, then the second segment is twice as long as the third, or 10 * 2 = 20 minutes long. The first segment is twice as long as the other two combined, or 2 * (10 + 20) = 60 minutes. Thus, in total, the show is 10 + 20 + 60 = 90 minutes long. Final answer: 90.