The price of Stock A at 9 A. M. was $14.89. Since then, the price has been increasing at the rate of $0.06 each hour. At noon the price of Stock B was $15.64. It begins to decrease at the rate of $0.16 each hour. If the two rates continue, in how many hours will the prices of the two stocks be the same? In about __?__ hours, the prices of the two stocks will be the same.

Write an equation for each stock and set them to equal each other.

Stock a = 14.89 + 0.06h

Stock b = 15.64 - 0.16h

Set to equal each other:

14.89+ 0.06h = 15.64 -0.16h

Subtract 14.89 from both sides:

0.06h = 0.75 - 0.16h

Add 0.16h to both sides:

0.22h = 0.75

Divide both sides by 0.22:

H = 0.75/0.22

H = 3.409 hours round to 3.4 hours

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