- Thread starter Cook$
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Or 'infinity', if you prefer...

2 right angles every minute. 60 minutes per hour and 24 hours. 2x60x24 = 2880. Could be wrong though

Though - I do think your solution is more where the question intends.

Yup, am with you, but for me the flaw is that the hour hand isn't discrete - it doesn't move in one 'chunk' from minute 47 (say) to minute 48. It moves continuously, like the minute hand, so because the hour hand can occupy any point, there are (at any point) two positions the minute hand can be that are at right angles to it. But if you're right - if the minute hand does move discretely from position to position, then I agree with you.

How about: by what factor is the number of rectangles on a chessboard larger than the number of squares?

in 24 hours the hour hand will spin twice, and the minute hand will spin a total of 24. so as it spins round it overtakes the hour hand 22 times. every time it passes it has to make 90 degrees twice in a 360 degree spin so it should be 44 right angles in total. it makes your head go fuzzy picturing it but i figured it out by sitting staring at a picture of a clock for about 10 minutes while a customer was on hold and i was pretending to be investigating a billing issue...

Had to go get a clock and try it. Liam's nailed it - good job, sir! Definitely 44...

I'm gonna go for 5.25 as many rectangles as squaresYup, am with you, but for me the flaw is that the hour hand isn't discrete - it doesn't move in one 'chunk' from minute 47 (say) to minute 48. It moves continuously, like the minute hand, so because the hour hand can occupy any point, there are (at any point) two positions the minute hand can be that are at right angles to it. But if you're right - if the minute hand does move discretely from position to position, then I agree with you.

How about: by what factor is the number of rectangles on a chessboard larger than the number of squares?

edit: i'll wait for another couple answers before i give away my working haha