If 36 workers can build a wall in 12 days, how many days will 16 workers take to build the same wall ? (assuming the number of working hours per day is constant)
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Answer:
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
y
1
x
1
=
y
2
x
2
where
x
1
=36 workers y
1
=12 days
x
2
=16 workers and y
2
=? days
Substitute,
16
36
=
12
y
2
⇒ y
2
=
16
12×36
=27 days
Therefore 16 workers will build the same wall in 27 days.
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