tdp1001@gmail.com wrote:
> If it takes a man and a half,
> a day and a half,
> to dig a hole and a half,
>
> how long would it take one man to dig half a hole?

The rate of digging holes is:

1.5 days /(1.5 man x 1.5 hole) = 1days /1.5 (man-hole)

Now, multiply the rate by 1 man and 0.5 hole. The Units in the bottom
of the rate cancel out and you are left with the days :

(1/1.5 days /(man hole))  x (1 man x 0.5 hole) = 1/3 days