Question

James ride down in an a Elevator that starts at a height of 120 feet. Brianne runs up the stairs from the group floor

Use the equation 120 - 2.5t = 1.5t to represent when James and Brianne are at the same height after t seconds

A. Solve the equation.
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B. What does the solution represent about James and Brianne's locations
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C. What Is their height above the ground floor when they are at the same height at the same time?
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Answer 1

A.) 120 - 2.5t = 1.5t

Adding 2.5t to both sides,

120 - 2.5t + 2.5t = 1.5t + 2.5t

120 = 4t

Dividing both sides by 4,

t = 120 ÷ 4

t = 30

B.) The solution represents the fact that at 30 seconds, James and Brianne are at the same height after 30 seconds of riding the elevator and running up the stairs respectively.

C.) Assuming it takes 1 second to complete 1 feet, and after 30 seconds, they have completed 30 feet, the height above the ground floor when they are at the same height at the same time will be 120 - 30 = 90feet.