Mathematics
Statement 1: Work done varies inversely to the number of persons at work.
Statement 2: Time taken to finish a work varies directly to the number of persons at work.
Which of the following options is correct?
Both the statements are true.
Both the statements are false.
Statement 1 is true, and statement 2 is false.
Statement 1 is false, and statement 2 is true.
Direct & Inverse Variations
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Answer
Since, Work done is constant.
Work done increases with more people working. Therefore, work done is directly proportional to the number of persons.
So, statement 1 is false.
Time taken decreases with more people working.
Therefore, time taken is inversely proportional to the number of persons.
So, statement 2 is false.
Hence, option 2 is the correct option.
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