Question

The price of Stock A at 9 A.M. was ​$14.83. Since​ then, the price has been increasing at the rate of ​$0.12 each hour. At noon the price of Stock B was ​$15.33. It begins to decrease at the rate of ​$0.15 each hour. If the two rates​ continue, in how many hours will the prices of the two stocks be the same?

Answer 1

• 0.5 hours

Explanation:

Let the x be the number of hours after noon.

We have the following equation:

• 14.83 + 0.12(x + 3) = 15.33 - 0.15x
• 14.83 + 0.12x + 0.36 = 15.33 - 0.15x
• 0.12x + 0.15x = 15.33 - 15.19
• 0.27x = 0.14
• x = 0.14/0.27
• x ≈ 0.5