Question

Help please

A special machine is used at a construction site to dig holes. A hole is dug to a depth of 4.75 feet when the machine hits rock. The progress slows to 35 feet per hour of digging. The depth of the hole must be at least 1212 feet by the end of the day to stay on schedule.

What is the minimum amount of time the machine must continue at its present rate to complete the hole on schedule?

Select from the drop-down menus to correctly complete the statement.


The machine requires at least Choose... hours and Choose... minutes to complete the hole on schedule.

option#1/ 12,28
option#2/ 9,15,45,55

Answer 1

#2: 9, 34.48571428571429 hours.

Explanation:

To solve this problem, we need to find the total time it takes for the machine to dig the remaining depth needed to reach the required 1212 feet. The remaining depth is 1212 feet - 4.75 feet = 1207.25 feet.

We can use the rate of digging, which is 35 feet per hour, to calculate the total time it takes to dig this remaining depth. We can use the formula time = distance / rate, where time is the time it takes to dig, distance is the remaining depth of the hole, and rate is the rate at which the machine digs.

Plugging in the values we have: time = 1207.25 feet / 35 feet/hour = <<1207.25/35=34.48571428571429>>34.48571428571429 hours

Since there are 60 minutes in an hour, we can convert the number of hours to minutes by multiplying it by 60: 34.48571428571429 hours * 60 minutes/hour = 2069.1428571428573 minutes

To express the time in hours and minutes, we can use the remainder operator to find the number of minutes that are left over after we subtract the number of whole hours. In this case, the remainder when we divide 2069.1428571428573 minutes by 60 is 9.142857142857146 minutes. Therefore, the machine requires at least 9 minutes and 34.48571428571429 hours to complete the hole on schedule.

Therefore, the correct answer is option #2: 9, 34.48571428571429 hours.