Challenge The price of Stock A at 9 A. M. Was $13.63. Since then, the price has been increasing at the rate of $0.06 each hour. At noon the price of Stock B was $14.38. It begins to decrease at the rate of $0.14 each hour. If the two rates continue, in how many hours will the prices of the two stocks be the same?

3.75 hours

Step-by-step explanation:

Let us represent the number of hours = x

The price of Stock A at 9 A.M. Was $13.63. Since then, the price has been increasing at the rate of $0.06 each hour.

$13.63 + $0.06× x

= 13.63 + 0.06x

At noon the price of Stock B was $14.38. It begins to decrease at the rate of $0.14 each hour.

$14.38 - $0.14 × x

14.38 - 0.14x

If the two rates continue, in how many hours will the prices of the two stocks be the same?

Stock A = Stock B

13.63 + 0.06x = 14.38 - 0.14x

Collect like terms

0.06x + 0.14x = 14.38 - 13.63

0.20x = 0.75

x = 0.75/0.20

x = 3.75 hours

The prices of the two stocks will be the same after 3.75 hours

1 1/5

step-by-step explanation: