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1. A new drill is used to dig a hole in the ground. At noon, the hole is 13.2 feet deep when the new drill is turned on for the first time that day. At 2 p.m., the drill has dug the hole to be feet deep. The new drill dug 1.5 times as much of the hole as the old drill would have in the same length of time.
(a) What expression represents the number of feet the new drill dug?
(b) How many feet would the old drill have dug in the same length of time? Show your work. Answer the question in a complete sentence.

Respuesta :

fichoh

Using the subtraction and division operation, the depth dug by the new drill, and the depth that would have been dug by the old drill are 29.05 feets and 19.37 feets respectively.

The expression for the number of feets dug by the new drill can be calculated thus :

  • Final depth - Initial depth

Depth dug = 42.25 feets - 13.2 feets

Depth dug = 29.05 feets

The new drill dug 1.5 times the depth that woukd have been dug by the old drill :

Depth dug by old drill = 29.05 / 1.5

Depth dug by old drill = 19.37 feets

Therefore, the depth dug by old drill will be 19.37 feets

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