DAY 402

If 3 cats can catch 3 mice in 3 minutes, how long would it take the 3 cats to catch 100 mice?

Answer:

102 minutes ........... If 3 cats can catch 3 mice in 3 minutes, it takes each cat 3 minutes to catch 1 mouse.

1 cat - 1 mouse - 3 minutes

3 cats - 3 mice - 3 minutes

3 cats - 6 mice - 6 minutes

3 cats - 9 mice - 9 minutes

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3 cats 99 mice - 99 minutes

(Every 3 minutes, one mouse is caught by each cat. In 99 minutes, each cat catches 33 mice ........ 3 x 33 = 99)

To catch the 100th mouse takes another 3 minutes ........ 99 + 3 = 102 minutes

OR

100 mice/3 cats = 33 - the number of mice caught by each cat

( + remainder 1 mouse)

Since it takes 3 minutes for each cat to catch one mouse,

3 x 33 =99 minutes

+ 3 minutes to catch the remaining mouse = 102 minutes