Question

A drilling crew dug to a height of -32 3/4 feet during their first day of drilling on the second day, the crew dug down 19 2/3 feet more than on the first day. Describe the height of the bottom of the hole after the second day​

Answer 1

The height of the bottom of the hole after the second day of drilling is -13 1/12 feet.

Step-by-step explanation:

The crew dug to a height of -32 3/4 feet on the first day. On the second day, they dug down 19 2/3 feet more than that. To find out the height of the bottom of the hole after the second day, we need to add the height dug on the first day to the additional height dug on the second day.

The height dug on the first day is -32 3/4 feet. The additional height dug on the second day is 19 2/3 feet.

To find the total height after the second day, we add -32 3/4 and 19 2/3:

1. Convert the mixed numbers to improper fractions: -32 3/4 = -131/4 and 19 2/3 = 59/3.
2. Add the fractions: -131/4 + 59/3 = -393/12 + 236/12 = -157/12.
3. Convert the improper fraction back to a mixed number: -157/12 = -13 1/12.

Therefore, the height of the bottom of the hole after the second day of drilling is -13 1/12 feet.