SOLUTION: It takes a man one hour to dig a hole 2 meters long, 2 meters wide, and 2 meters deep. How many hours would it take the same man to dig a hole 4 meters long, 4 meters wide, and 4 m

Algebra ->  Rate-of-work-word-problems -> SOLUTION: It takes a man one hour to dig a hole 2 meters long, 2 meters wide, and 2 meters deep. How many hours would it take the same man to dig a hole 4 meters long, 4 meters wide, and 4 m      Log On


   



Question 252169: It takes a man one hour to dig a hole 2 meters long, 2 meters wide, and 2 meters deep. How many hours would it take the same man to dig a hole 4 meters long, 4 meters wide, and 4 meters deep, assuming that he digs at the same rate of speed?
A. 2 B. 4 C. 6 D. 8 E. 16

Answer by ptaylor(2198) About Me  (Show Source):
You can put this solution on YOUR website!
Let x=number of hours required to dig the big hole
The man moves dirt at the rate of 2^3 or 8 cu meters per hour
A hole 4X4X4=4^3=64 cu meters
So, our equation to solve is:
8x=64 cu meters
x=8 hours-------------------answer
Hope this helps---ptaylor