The more the workers, the lesser days it takes to complete the work
Therefore number of workers is inversely proportional to days to complete work.
Let
w= number of workers and
d= days
w∝ Remove the proportionality by introducing equal to and a constant Let
k= constant
w=k×w= Since we know the number of workers and days taken to complete the work, we can calculate for the value of
k w=5 boys d=14 days 5= Multiply both sides by 14 to get rid of the denominator.
5×14=k The general equation is therefore
w= Now we are given the number of workers to find number of days to complete the work.
Number of workers
(w)=77= Multiply both sides by
d to get rid of the denominator
7×d=5×14 Solve for the value of
d by dividing both sides by 7
d=d=5×2=10 days Note: 7 divides itself once and 14, 2 times
Days taken for the 7 boys to complete work is 10 days.