The price of a bushel of corn is currently $3.20, and the price of a peck of wheat is $7.80. The price of corn is increasing at a constant rate of 5x cents per day while the price of wheat is decreasing at a constant rate of x(2^1/2) - x cents per day. What is the approximate price when a bushel of corn costs the same amount as a peck of wheat?  Answers:
A) $4.50 B) $5.10 C) $5.30 D) $7.50 E) $5.60
I Tried using Time/Rate approach:-   Initial Price $7.50ifference = 7.80 - 3.20= 
<gadget id="calculator">7.80 - 3.20</gadget>
<output>4.6</output>
4.60   Price of Corn increasing by 5x   Price of Wheat decreasing by x(1.4)-x= .4x   Since both the quantities are moving towards reducing the Price Gap hence:-   Relative Increase = 5x +.4x   Let T be the Time by which GAP is filled so,   4.6 = T(5.4x) -&gt; T= (4.6)/5.4X   Final Price = 3.20 + 5X * T -&gt; 3.20 + 5*4.6/5.4 = 7.5   Answer $7.50.
<result>D</result>
The price of a bushel of corn is currently $3.20, and the price of a peck of wheat is $7.80. The price of corn is increasing at a constant rate of 5x cents per day while the price of wheat is decreasing at a constant rate of x(2^1/2) - x cents per day. What is the approximate price when a bushel of corn costs the same amount as a peck of wheat?