A computer can process 100 records of data in 200 milliseconds. If a millisecond is 1/1000 of a second, how many seconds does it take to process a file of 1000 records?
Solution 1 (using step-by-step reasoning):
• If it takes 200 milliseconds to process 100 records, it will take 10 times longer (2000 milliseconds) to process a file of 1000 records
• 2000 milliseconds is the same as 2 seconds, because it takes 1000 of the little 1/1000 second parts to make one second.
Thus, it takes 2 seconds to process the file.
Notice: The above reasoning used reciprocals of the information provided as input.
• If 100 records are processed in 200 milliseconds,
then it takes 200 milliseconds to process 100 records.
• If a millisecond is 1/1000 second, then one second is 1000 milliseconds.
Thinking in reciprocal terms makes the reasoning easier.
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