### Brain Teasers

# Santa's Trains

Santa Claus sometimes helps the elves by making some toys. He's not as fast as the elves, but he can still make 30 toys each hour. In order to keep from getting bored he starts each day by building 50 trains and then switches to building 50 airplanes. Then he switches back to trains and keeps switching back and forth until the day is finished. If Santa starts work at 8:00am, when will he finish his 108th train?

### Answer

Because Santa started with trains, the 108th train will occur during his 5th batch of toys. Thus he will have built a total of 208 toys. At 2 minutes a toy, his 108th train will happen 416 minutes after he starts work, which is 2:56pm.Hide Answer Show Answer

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## Comments

I brute-forced this one and came up with the same, but I like your more elegant solution better.

What? No lunch break? To bathroom break?

Bathroom break? Bah! You can tell by Santa's ironman physique that he is way too tough to let stuff like that slow him down.

Hmmm. Time to brush up on my math. That should have been easy.

Santa sits on the toilet while making toys. His coffee pot is right next to the sink. No time lost!

Yay. I got this one

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