The more the workers, the lesser the time to complete the task. Hence number of workers is inversely proportional to time.
Let
w= workers,
t= time to complete task
w∝We can introduce a constant to remove the proportionality.
Let
k= proportionality constant.
w=k×w=Make
k the subject.
Multiply both sides by
t Multiply both sides by
tk=w×tThe value of
k is the same for all scenarios since they work at the same rate.
k value for 1 man is the same for the 6 men.
Let
t= time taken for the 6 men to complete the task.
1×12=6×tDivide both sides by 6 so that
t stands alone
t===2 hours It will take 2 hours for the 6 men to complete the work at the same rate.