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I was watching the street, there were mopeds(2 wheels) bikes(2 wheels), tricycles(3 wheels), taxis(4 wheels) and big trucks(6 w...Asked by Malia
I was watching the street, there were mopeds(2 wheels) bikes(2 wheels), tricycles(3 wheels), taxis(4 wheels) and big trucks(6 wheels). I counted as they went past a total of 60 in 5 minutes. I notice the following about the vehicle. Every second was a taxi. Every odd prime numbered vehicle was human powered.so the 3rd, 5th, and 7th,11th, 13th and so on, three out of every four human powered vehicles were a bicycle. The odd multiples of 3(not included 3) were mopeds.and the remaining was big trucks. How many wheels went by on these 60 vehicles?
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Answered by
Steve
taxi: 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 ...
bike/trike: 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59
moped: 9 15 21 27 33 39 45 51 57
truck: 1 25 35 55 49
30 taxis
9 mopeds
5 trucks
so, 16 humans: 12 bikes, 4 trikes
total wheels:
4*30 + 9*2 + 5*6 + 12*2 + 4*3 = 204
bike/trike: 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59
moped: 9 15 21 27 33 39 45 51 57
truck: 1 25 35 55 49
30 taxis
9 mopeds
5 trucks
so, 16 humans: 12 bikes, 4 trikes
total wheels:
4*30 + 9*2 + 5*6 + 12*2 + 4*3 = 204
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