If five machines do five works in five minutes, how long will 100 machines take to do 100 works?
Answer: 5 minutes
Explanation
This problem involves a proportional relationship between machines, work, and time.
We are told that:
- 5 machines do 5 works in 5 minutes.
The rate at which each machine works is:
Rate of 1 machine= 5 works/ 5machines×5minutes= 1 works / 5minutes
So, 1 machine can complete 1 work in 5 minutes.
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