Question

The price of Stock A at 9 A.M. was ​$15.19. Since​ then, the price has been increasing at the rate of ​$0.07 each hour. At noon the price of Stock B was ​$15.94. It begins to decrease at the rate of ​$0.11 each hour. If the two rates​ continue, in how many hours will the prices of the two stocks be the​ same?

Answer 1

the prices of the two stocks will be the same after about 4.17 hours, or about 4 hours and 10 minutes.

Explanation:

Let's first write the equations for the price of Stock A and Stock B after x hours from 9 A.M.

Price of Stock A = 15.19 + 0.07x

Price of Stock B = 15.94 - 0.11x

We want to find out when the prices of the two stocks will be the same, so we set the two equations equal to each other and solve for x.

15.19 + 0.07x = 15.94 - 0.11x

0.18x = 0.75

x = 4.17

Therefore, the prices of the two stocks will be the same after about 4.17 hours, or about 4 hours and 10 minutes.