How many full skyscrapers has he washed?

[Greg Bernhardt]

Timmy Thomas the Window cleaner, washes skyscraper windows every day. The skyscrapers all have 109 windows, and Timmy Thomas washes 37 windows each day. There are a lot of skyscrapers towering next to each other (all identical to each other), and Timmy Thomas is told to wash as many as he can. At the end of a particular day, he has washed only 1 window of a particular skyscraper. What day is this? How many full skyscrapers has he washed?

 

[Hurkyl]

(Assuming he finishes one skyscraper before moving onto the next, doesn't wash the same window twice, etc)

The first time it happens is at the end of his 56-th day of washing windows, at which time he has washed 19 skyscrapers fully.

 

[Greg Bernhardt]

Originally posted by Hurkyl
(Assuming he finishes one skyscraper before moving onto the next, doesn't wash the same window twice, etc)

The first time it happens is at the end of his 56-th day of washing windows, at which time he has washed 19 skyscrapers fully.

wow that was fast Hurkyl!