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Q.

If 14 workers can build a wall in 42 days, then, how many days will it take for one worker to build the same wall?

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a

300 days

b

417 days

c

294 days

d

588 days

answer is D.

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Detailed Solution

Given,
14 workers can build a wall in 42 days.
Let the time taken by one worker to build the wall be x days.
Then,

No. of workers	14	1
No. of days	42	x

We can clearly observe that, lesser the number of workers, more will be number days required to build the wall.
Therefore, this is the case of inverse proportion.
As this is case of inverse proportion, therefore the product will remain constant throughout table that is,

14 × 42 = 1 × x

Multiplying the terms,

x = 588

Hence, the time taken by one worker to build the wall is 588 days.
Therefore, option 4 is correct.

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