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Regular gas costs $3.00 a gallon and is consumed at a rate of 25 miles

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Regular gas costs $3.00 a gallon and is consumed at a rate of 25 miles  [#permalink]

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New post 05 Jun 2018, 20:59
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Regular gas costs $3.00 a gallon and is consumed at a rate of 25 miles per gallon. Premium costs $4.00 a gallon and is consumed at a rate of 30 miles per gallon. How much more will it cost to use premium rather than regular for a 300-mile trip?

(A) $1
(B) $4
(C) $5
(D) $36
(E) $40

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Re: Regular gas costs $3.00 a gallon and is consumed at a rate of 25 miles  [#permalink]

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New post 05 Jun 2018, 21:24
Bunuel wrote:
Regular gas costs $3.00 a gallon and is consumed at a rate of 25 miles per gallon. Premium costs $4.00 a gallon and is consumed at a rate of 30 miles per gallon. How much more will it cost to use premium rather than regular for a 300-mile trip?

(A) $1
(B) $4
(C) $5
(D) $36
(E) $40


As the calculation we're asked to do is straightforward, we'll just do it.
This is a Precise approach.

cost with regular gas: 300 miles / 25 miles per gallon = 12 gallons. Multiplying by $3 a gallon gives $36
cost with premium gas: 300 miles / 30 miles per gallon = 10 gallons. Multiplying by $4 a gallon gives $40

So the difference is 40 - 36 = $4.

(B) is our answer.
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Re: Regular gas costs $3.00 a gallon and is consumed at a rate of 25 miles  [#permalink]

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New post 05 Jun 2018, 21:38
Regular gas costs $3.00 a gallon and is consumed at a rate of 25 miles per gallon. Premium costs $4.00 a gallon and is consumed at a rate of 30 miles per gallon. How much more will it cost to use premium rather than regular for a 300-mile trip?

(A) $1
(B) $4
(C) $5
(D) $36
(E) $40
Cost incurred in the trip using Regular Gasoline= (300/25)*3= $36
Cost incurred in the trip using Premium Gasoline= (300/30)*4= $40
Therefore, Premium will cost 40-36= $4 extra

B is the answer.
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Re: Regular gas costs $3.00 a gallon and is consumed at a rate of 25 miles  [#permalink]

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New post 08 Jun 2018, 10:21
Bunuel wrote:
Regular gas costs $3.00 a gallon and is consumed at a rate of 25 miles per gallon. Premium costs $4.00 a gallon and is consumed at a rate of 30 miles per gallon. How much more will it cost to use premium rather than regular for a 300-mile trip?

(A) $1
(B) $4
(C) $5
(D) $36
(E) $40


For a 300-mile trip, we need 300/25 = 12 gallons of regular gas, which costs 12 x 3 = $36. For a trip of the same distance, we need 300/30 = 10 gallons of premium gas, which costs 10 x 4 = $40. Thus the premium gas costs 40 - 36 = $4 more than the regular gas for a 300-mile trip.

Answer: B
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Re: Regular gas costs $3.00 a gallon and is consumed at a rate of 25 miles  [#permalink]

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New post 08 Jun 2018, 10:29
Bunuel wrote:
Regular gas costs $3.00 a gallon and is consumed at a rate of 25 miles per gallon. Premium costs $4.00 a gallon and is consumed at a rate of 30 miles per gallon. How much more will it cost to use premium rather than regular for a 300-mile trip?

(A) $1
(B) $4
(C) $5
(D) $36
(E) $40


\(\frac{300}{30}*4 - \frac{300}{25}*3\)

= \(40 - 36\)

= 4, Answer must be (B)
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Re: Regular gas costs $3.00 a gallon and is consumed at a rate of 25 miles  [#permalink]

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New post 08 Jun 2018, 19:19
Regular gas costs $3.00 a gallon and is consumed at a rate of 25 miles per gallon. Premium costs $4.00 a gallon and is consumed at a rate of 30 miles per gallon. How much more will it cost to use premium rather than regular for a 300-mile trip?

Trip Distance: 300 Miles

Regular gas = 25 Miles/gallon , 12 gallons of gas used for whole trip (300/25) , cost = 12*3 = 36$
Premium gas = 30 Miles/gallon , 10 gallons of gas used for whole trip (300/30) , cost = 10*4 = 40$

Difference = 40$-36$ = 4$

Ans: B
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