Answer :
Final answer:
The drilling rig has been running for 41.5 hours.
Explanation:
To determine how long the rig has been running, we need to find the time it took for the rig to drill the additional depth of 192.5 - (-15) = 207.5 feet.
The rig drilled 15 feet in 3 hours, so the rig drills at a rate of 15/3 = 5 feet per hour.
Therefore, the rig has been running for 207.5/5 = 41.5 hours.
The correct answer is option 3. 38.5 hours.
Following is given:
- The rig dug to -15 feet in 3 hours.
- The rig is currently at -192.5 feet.
First, calculating the rate at which the rig is digging:
[tex]Rate = \frac{Depth}{time} = \frac{-15\ feet}{\ 3\ hours} = -5\ feet\ per\ hour[/tex]
Next, using this rate to figure out the total time for the rig to reach -192.5 feet. Setting up the equation:
[tex]Total\ time = \frac{Current\ Depth}{Rate} = \frac{-192.5\ feet}{-5\ feet\ per\ hour}[/tex]
Solving this,
[tex]Total\ time = \frac{-192.5}{-5} = \frac{192.5}{5} = 38.5\ hours[/tex]
Thus, the rig has been running for 38.5 hours.
