Please turn off your computers… …we will play a little game first 

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Presentation transcript:

Please turn off your computers… …we will play a little game first 

The Row Boat Puzzle

The Row Boat Puzzle A man rows a boat in a river The man must row from point A to point B The water in the river steams in the direction from A to B, with constant speed The man rows the boat with constant speed

The Row Boat Puzzle A B Due to the stream, it takes less time to row from A to B, than from B to A It takes 6 minutes to row from A to B It takes 12 minutes to row from B to A QUESTION: How long will it take to row from A to B, if there was no stream…?

The Row Boat Puzzle Hint #1 Call the speed of the rower R Call the speed of the stream S Total speed from A to B: R+S Total speed from B to A: R-S Total speed without stream: R

The Row Boat Puzzle Hint #2 Distance = Speed x Time The distance A to B is called L, then: L = (R + S) x 6 minutes L = (R – S) x 12 minutes Find S expressed by R

The Row Boat Puzzle Hint #3 S = 1/3 R, so by inserting this: L = 4/3 R x 6 minutes L = 2/3 R x 12 minutes We must then solve L = R x ? minutes