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0 / 60 seg.
If 5 cats can catch 5 mice in 5 minutes, how many cats do you need to catch 100 mice in 100 minutes?
5
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5
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Y
5
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0
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A
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:
1
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1
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5
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1
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5
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1
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1
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Clue
THE TRAIN IS ABOUT TO LEAVE AND YOU WILL NOT BE ABLE TO CATCH THE TRAIN. THE AMOUNT OF TIME TAKEN TO TRAVEL TO THE HALFWAY POINT AT 15 MILES AN HOUR IS THE SAME AMOUNT OF TIME TAKEN TO REACH THE TRAIN STATION WHEN TRAVELLING TO THE RAILROAD STATION AT 30 MILES AN HOUR. FOR EXAMPLE, LET'S ASSUME THAT THE DISTANCE TO TRAVEL IS 30 MILES. WHEN TRAVELLING AT 30 MILES AN HOUR, IT TAKES 1 HOUR. WHEN TRAVELLING AT 15 MILES AN HOUR, IT WILL ALREADY TAKE 1 HOUR TO REACH THE HALFWAY POINT
THE SAME THREE CATS WOULD DO. SINCE THESE THREE CATS ARE AVERAGING ONE MOUSE PER MINUTE, GIVEN 100 MINUTES, THE CATS COULD CATCH 100 MICE
THE SON WILL CATCH UP WITH HIS FATHER IN 10 MINUTES. IN 10 MINUTES, THE SON WOULD HAVE TRAVELED HALF THE DISTANCE, SINCE HIS TOTAL TRAVELING TIME IS 20 MINUTES. THE FATHER STARTED 5 MINUTES EARLIER THAN THE SON, SO HE WOULD HAVE TRAVELED FOR A TOTAL OF 15 MINUTES WHEN HIS SON REACHED HIM. THEREFORE, THE FATHER WOULD HAVE ALSO TRAVELED HALF THE DISTANCE IN 15 MINUTES
5 CATS. THE SAME FIVE COULD KEEP CATCHING 5 MICE EVERY 5 MINUTES FOR 100 MINUTES. ALTERNATIVELY: 1 CAT CAN CATCH 1 MICE IN 5 MINUTES. 1 CAT CAN CATCH 20 (1×20) MICE IN 100 (5×20) MINUTES. THEREFORE, 5 CATS CAN CATCH 100 MICE IN 100 MINUTES
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