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The price of a bushel of corn is currently $3.20, and the price of a p
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08 Nov 2022, 05:53
08 Nov 2022, 05:53
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The price of a bushel of corn is currently $3.20, and the price of a peck of wheat is $5.80. 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 \(x\sqrt{2} - x\) cents per day. What is the approximate price when a bushel of corn costs the same amount as a peck of wheat?
(A) $4.50
(B) $5.10
(C) $5.30
(D) $5.50
(E) $5.60
(A) $4.50
(B) $5.10
(C) $5.30
(D) $5.50
(E) $5.60
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Free Materials for the GRE General Exam - Where to get it!!
GRE Geometry Formulas
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Free Materials for the GRE General Exam - Where to get it!!
GRE Geometry Formulas
GRE - Math Book
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Joined: 20 Feb 2017
Posts: 2506
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Re: The price of a bushel of corn is currently $3.20, and the price of a p
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14 Nov 2022, 07:29
14 Nov 2022, 07:29
Expert Reply
Try using Time/Rate approach:-
Initial Price Difference = 5.80 - 3.20 = 2.60
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,
2.6 = T(5.4x) -> T= (2.6)/5.4X
Final Price = 3.20 + 5X * T -> 3.20 + 5*2.6/5.4 = 5.6
Answer: E
Initial Price Difference = 5.80 - 3.20 = 2.60
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,
2.6 = T(5.4x) -> T= (2.6)/5.4X
Final Price = 3.20 + 5X * T -> 3.20 + 5*2.6/5.4 = 5.6
Answer: E
gmatclubot
Re: The price of a bushel of corn is currently $3.20, and the price of a p [#permalink]
14 Nov 2022, 07:29
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