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Trucking transportation rates are x dollars per metric ton per kilomet

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

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New post 21 Dec 2018, 08:37
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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) \(24xn\)

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

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New post 21 Dec 2018, 09:30
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) \(24xn\)

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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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New post 21 Dec 2018, 10:29
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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) \(24xn\)

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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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New post 26 Jan 2019, 21:45
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 \(\frac{x}{\frac{t}{n}}\)
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Re: Trucking transportation rates are x dollars per metric ton per kilomet  [#permalink]

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New post 26 Jan 2019, 22:20
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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Re: Trucking transportation rates are x dollars per metric ton per kilomet   [#permalink] 26 Jan 2019, 22:20
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