To solve this
QUESTION
Eight men can do a piece of work in 12
days. How long will 6 men take to do the
same work if they work at the same rate?
SOLUTION
Let X be thr time taken for 6 men to work at the same rate
Looking at the question, it is an indirect proportion
because as the number of men increases, the time taken to do the work decreases
So therefore;
8 men = 6 men
X days = 12 days
cross-multiply
6 x X = 12 x 8
6X = 96
divide both-sidde of the equation by 6
6X/6 = 96/6
X = 16 days
Therefore, it takes 16 days for 6 men men to do the work at the same rate.