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Relation for Inverse Proportion

4 men take 6 ...

Question

4 men take 6 days to repair a road. How long will it take if 8 men do the job at same rate?

3 days

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4 days

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6 days

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8 days

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Solution

The correct option is A 3 days
The number of men is inversely proportional to the time taken to do the job.
Let t be the time taken for the 8 men to finish the job.
4 $\times$ 6 = 8 $\times$ t
24 = 8t
t = 3 days

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