Question

The price of Stock A at 9 A.M. was $15.14. Since then, the price has been increasing at the rate of $0.13 each hour. At noon the price of Stock B was $15.64. It begins to decrease at the rate of $0.12 each hour. If the two rates continue, in how many hours will the prices of the two stocks be the same?

Answer 1

It will take 2 hours for the prices of Stock A and Stock B to be the same.

To find the number of hours it will take for the prices of Stock A and Stock B to be the same, we need to set up equations for the prices of both stocks.

The price of Stock A can be represented by the equation y = 15.14 + 0.13x, where x is the number of hours passed.

The price of Stock B can be represented by the equation y = 15.64 - 0.12x.

To find the hours when the prices are the same, we set these two equations equal to each other and solve for x:

15.14 + 0.13x = 15.64 - 0.12x

0.25x = 0.5

x = 2

Therefore, it will take 2 hours for the prices of Stock A and Stock B to be the same.