7 workers working 6 hours a day can build a wall in 12 days. How many days will 3 workers take to build a similar wall working 8 hours a day.
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If the number of workers decreases, the time to taken built the wall increases in the same proportion. Clearly, number of workers varies inversely to the number of days.
So here y1x1=y2x2 where
x1=36 workers y1=12 days
x2=16 workers and y2=? days
Substitute, 1636=12y2 ⇒ y2=1612×36=27 days
Therefore 16 workers will build the same wall in 27 days.
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