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Trucking transportation rates are x dollars per metric ton per kilomet  [#permalink]

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Difficulty:   5% (low)

Question Stats: 81% (01:17) correct 19% (01:37) wrong based on 105 sessions

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Trucking transportation rates are x dollars per metric ton per kilometer. How much does it cost, in dollars, to transport one dozen cars, which weigh two metric tons each, n kilometers by truck?

(A)$$\frac{x}{12n}$$
(B) $$\frac{x}{24n}$$
(C) $$\frac{xn}{24}$$
(D) $$12xn$$
(E) $$24xn$$

Project PS Butler : Question #91

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Re: Trucking transportation rates are x dollars per metric ton per kilomet  [#permalink]

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HKD1710 wrote:
Trucking transportation rates are x dollars per metric ton per kilometer. How much does it cost, in dollars, to transport one dozen cars, which weigh two metric tons each, n kilometers by truck?

(A)$$\frac{x}{12n}$$
(B) $$\frac{x}{24n}$$
(C) $$\frac{xn}{24}$$
(D) $$12xn$$
(E) $$24xn$$

Project PS Butler : Question #91

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Cost per truck = $$x / MT/Km$$

Cost of transporting 12 trucks for , 2 MT each for n miles is $$12*2*n*x = 24nx$$, Thus Answer must be (E)
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Re: Trucking transportation rates are x dollars per metric ton per kilomet  [#permalink]

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HKD1710 wrote:
Trucking transportation rates are x dollars per metric ton per kilometer. How much does it cost, in dollars, to transport one dozen cars, which weigh two metric tons each, n kilometers by truck?

(A)$$\frac{x}{12n}$$
(B) $$\frac{x}{24n}$$
(C) $$\frac{xn}{24}$$
(D) $$12xn$$
(E) $$24xn$$

Project PS Butler : Question #91

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Let x = $1 Let n =100km Let x =$1 The then cost for 12 cars 2 metric tons each for 100 km at $1 per km = 12*2*1*100 =$2,400
E) 24XN = 24*1*100=\$2,400
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Re: Trucking transportation rates are x dollars per metric ton per kilomet  [#permalink]

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I understand why the answer is E by using x·t·n
How to get to the multiplication using fractions? It's not in the format $$\frac{\frac{x}{t}}{n}$$ nor $$\frac{x}{\frac{t}{n}}$$
Director  G
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Re: Trucking transportation rates are x dollars per metric ton per kilomet  [#permalink]

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HKD1710 wrote:
Trucking transportation rates are x dollars per metric ton per kilometer. How much does it cost, in dollars, to transport one dozen cars, which weigh two metric tons each, n kilometers by truck?

(A)$$\frac{x}{12n}$$
(B) $$\frac{x}{24n}$$
(C) $$\frac{xn}{24}$$
(D) $$12xn$$
(E) $$24xn$$

I followed this approach

x dollars per metric ton per kilometer.

1 km = x dollars / MT

Now back solve this

n km = x n dollars /MT

1 MT = x n dollars

2 MT = 2 x n dollars

Above will be cost for 1 car

1 car = 2 x n dollars

12 car = 24 x * n dollars.
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Many of life's failures happen with people who do not realize how close they were to success when they gave up. Re: Trucking transportation rates are x dollars per metric ton per kilomet   [#permalink] 26 Jan 2019, 22:20
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