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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?
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1
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Clue
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
THE PATIENT WILL TAKE 1 HOUR TO CONSUME ALL FIVE TABLETS. SUPPOSE HE TAKES THE FIRST TABLET AT 8:00 PM. HE WILL TAKE THE SUBSEQUENT TABLETS AT 8:15 PM, 8:30 PM, 8:45 PM AND 9:00 PM
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
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