Puzzler of the week

[Scott MacLean]

This week's puzzler:

I was driving on an access road about to get on the freeway. There was a convertible up in front of me, with the top down. It was a beautiful day. There was a couple in the car who I could only imagine were husband and wife. The car was a small sports car with a standard transmission -- a Miata, or something like that.

We had about three stop lights to go until the on ramp to the freeway, and at every stop light the couple would turn to each other and have a conversation. When the light turned green the conversation would abruptly stop until they came to the next red light.

The car was not excessively loud. There was no loud background noise, and they did not have the radio on.

Here's the puzzler. Why did they converse only at red lights?

Last week's puzzler:

It was a dark and stormy night at a secret airfield somewhere in England during WW II. The Royal Air Force had summoned one of England's most noted mathematicians to help them solve a problem. German anti-aircraft fire based on the ground was inflicting heavy losses on the Brits. Their planes were being shot down right and left. The RAF had to do something to diminish their losses.

Clearly, they could put armor plating on the bottoms of the fuselages and the wings, but there were several problems with that idea. Their range and their ability to carry bombs would be considerably reduced because of the additional weight.

A nameless mathematician crawled underneath the planes and looked at where the bullet holes were on the underside. They were all over the place as you might expect -- in the wings and the fuselage, and seemingly distributed randomly on the undersides. He studied hundreds of planes, took pictures, drew a number of sketches -- and then he made his recommendation.

The question is, what armor plating, if any, did he recommend putting on these planes -- and why?

Last week's puzzler answer:

His recommendation very simply was to armor plate the unhit areas that the returning planes had in common. When he surveyed the undersides of these planes, he noticed that there were a few spots that all of them had in common that had no bullet holes. And he had to assume that the ones that hadn't returned had bullet holes in those locations. They were in the English Channel someplace.