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A car with full tank can travel 300 miles on the highway or 190 miles
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02 Aug 2021, 22:43
02 Aug 2021, 22:43
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Question Stats:
69% (02:47) correct
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A car with full tank can travel 300 miles on the highway or 190 miles in the city. Also, the car travels 8 fewer miles per gallon in the city than on the highway.
A. Quantity A is greater
B. Quantity B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given
Quantity A |
Quantity B |
Number of miles per gallon the car travels in the city |
12 |
A. Quantity A is greater
B. Quantity B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given
Re: A car with full tank can travel 300 miles on the highway or 190 miles
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03 Aug 2021, 06:13
03 Aug 2021, 06:13
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Joined: 11 Jan 2021
Posts: 27
Given Kudos: 1275
GRE 1: Q167 V159
A car with full tank can travel 300 miles on the highway or 190 miles
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04 Aug 2021, 05:23
04 Aug 2021, 05:23
4
Distance travelled in Highway = 300 miles
Distance travelled in City = 190 miles
Let mpg in the highway be \(x\)
Then, mpg in the city will be \(x - 8\)
Let T be the quantity of fuel in a full tank (in gallons),
Thus,
\(x = \frac{300}{T}\) .... (1)
\(x - 8 =\frac{190}{T}\) ...(2)
Hence,
\(\frac{300}{T} - \frac{190}{T} = 8\)
\(T = \frac{110}{8} = 13.75 \) gallons
Quantity A = Number of miles per gallon the car travels in the city = \(\frac{190}{13.75} = 13.82\)
Thus, (A).
Distance travelled in City = 190 miles
Let mpg in the highway be \(x\)
Then, mpg in the city will be \(x - 8\)
Let T be the quantity of fuel in a full tank (in gallons),
Thus,
\(x = \frac{300}{T}\) .... (1)
\(x - 8 =\frac{190}{T}\) ...(2)
Hence,
\(\frac{300}{T} - \frac{190}{T} = 8\)
\(T = \frac{110}{8} = 13.75 \) gallons
Quantity A = Number of miles per gallon the car travels in the city = \(\frac{190}{13.75} = 13.82\)
Thus, (A).
