SOLUTION: If 12 cats can kill 12 mice in 12 hours, how many hours will it take for 2020 cats to kill 2020 mice? (Note: Do not write "hours" in your answer

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Question 1192889: If 12 cats can kill 12 mice in 12 hours, how many hours will it take for 2020 cats to kill 2020 mice? (Note: Do not write "hours" in your answer
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
NR%2AT=J
N, how many cats
R, the rate of killing mice for just 1 cat
T, time in hours
J, amount of work (or mice killed)

First sentence, r for rate
12%2Ar%2A12=12

Second sentence, t for how much time
2020%2Ar%2At=2020

Divide the second sentence equation by the first sentence equation.
%282020%2Ar%2At%29%2F%2812%2A12%2Ar%29=2020%2F12
%282020t%29%2F%2812%2A12%29=2020%2F12
t=%282020%2F12%29%28%2812%2A12%29%2F2020%29
highlight%28t=12%29

Answer by ikleyn(52810) About Me  (Show Source):
You can put this solution on YOUR website!
.
If 12 cats can kill 12 mice in 12 hours, how many hours will it take for 2020 cats to kill 2020 mice?
(Note: Do not write "hours" in your answer
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If 12 cats kill 12 mice in 12 hours, it implies that

    1 cat  kills 1 mouse in 12 hours.


In turn, it implies that

    2020 cats  kill 2020 mice in 12 hours.


ANSWER.  In 12 hours.

Solved and thoroughly explained.