A water well drilling rig has dug to a height of –60 meters after one full day of continuous use.a) Assuming the rig drilled at a constant rate, what was the height of the drill after 15 hours?
If it is a drill, you are dealing with depth rather than height.
Is one full day = 24 hours?
24/60 = 15/x
Solve for x. If the day is not 24 hours, substitute that value for 24.
To find the height of the drill after 15 hours, we need to determine the average rate at which the drill digs.
Given that the rig dug to a height of -60 meters after one full day (which is 24 hours), we can calculate the average rate of digging per hour by dividing the total depth by the total time:
Average rate = Total depth / Total time = -60 meters / 24 hours
Now, we can use this average rate to find the height of the drill after 15 hours:
Height after 15 hours = Average rate × Time
Height after 15 hours = (-60 meters / 24 hours) × 15 hours
By simplifying the expression, we can calculate the height:
Height after 15 hours = (-2.5 meters/hour) × 15 hours
Height after 15 hours = -37.5 meters
Therefore, the height of the drill after 15 hours is -37.5 meters.