Question

While analyzing the landing procedures of airplanes, George noted one plane at an altitude of 5,000 feet descending at a rate of 300 feet per minute and one at an altitude of 14,000 feet descending at a rate of 1,200 feet per minute. Which of the following solutions represents when the two airplanes will reach the same altitude? (6, 3200)


(10, 2000)


(12.7, 1190)


(21, 1300)

Answer 1

Answer:

C

Step-by-step explanation:

Answer 2

The solution that represents when the two aeroplanes will reach the same altitude is (10,2000).

Suppose after t time both the aeroplanes reach the same altitude.

So, after t minutes height of the plane flying at 5000 feet = 5000-300t

After t minutes height of the plane flying at 14000 feet = 14000-1200t

What will be the condition for the same altitude?

When the two aeroplanes will reach the same altitude, expressions for height after t minute in both the scenarios will be equal to each other.

$5000-300t = 14000-1200t\\900t=9000\\t=10 min$

Corresponding height = 5000-300*10

Corresponding height =2000 feet

Therefore, the solution that represents when the two aeroplanes will reach the same altitude is (10,2000).

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