Answer:
2.78 hours
Step-by-step explanation:
Let the number of hours be represented by x
The price of Stock A at 9 A.M. Was $12.39. Since then, the price has been increasing at the rate of $0.06 each hour.
$12.39 + $0.06 × x
12.39 + 0.06x
At noon the price of Stock B was $12.89. It begins to decrease at the rate of $0.12 each hour.
$12.89 - $0.12 × x
12.89 - 0.12x
If the two rates continue, in how many hours will the prices of the two stocks be the same?
We equate the 2 stocks together
12.39 + 0.06x = 12.89 - 0.12x
Collect like terms.
0.06x + 0.12x = 12.89 - 12.39
= 0.18x = 0.5
x = 0.5/0.18
x =2.77777777778hours
The prices of the two stocks be the same in 2.78 hours
