Answer:
3.75 hours
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