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# I love a parade. But how long is it?

## Question

Rainman and BMAD were out for a walk the other day when they came across some barracades along a parade route that blocked their path.

So much for that, mused BMAD, it looks like we either turn back or wait to watch a parade.

I've got a puzzle idea, replied Rainman. Let's measure how long the parade is. When it arrives, you start walking slowly alongside it, and I'll do the same, but in the opposite direction. When I get to the end of the parade I'll stop. When the end of the parade catches up to you, you call my cell phone. BMAD agreed.

When BMAD made the call, she had walked 12 blocks. Rainman reported that he had walked only a third as many. Assuming all speeds were constant, and Rainman and BMAD's speeds were the same, how long was the parade?

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Rainman and BMAD were out for a walk the other day when they came across some barracades along a parade route that blocked their path.

So much for that, mused BMAD, it looks like we either turn back or wait to watch a parade.

I've got a puzzle idea, replied Rainman. Let's measure how long the parade is. When it arrives, you start walking slowly alongside it, and I'll do the same, but in the opposite direction. When I get to the end of the parade I'll stop. When the end of the parade catches up to you, you call my cell phone. BMAD agreed.

When BMAD made the call, she had walked 12 blocks. Rainman reported that he had walked only a third as many. Assuming all speeds were constant, and Rainman and BMAD's speeds were the same, how long was the parade?

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It seems like the speed of the parade must be twice the speed of the the Rainman and BMAD. Given that constraint, the parade must be 12 blocks long.

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Since I was there, of course I know the answer I'll leave it to someone else to figure it out as well.

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Had bmad doubled up her pace, you would have died waiting for her (note) call.

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