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Regular gas costs $3.00 a gallon and is consumed at a rate of 25 miles
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25 Jul 2025, 01:19
25 Jul 2025, 01:19
Expert Reply
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Question Stats:
100% (01:48) correct
0% (00:00) wrong based on 2 sessions
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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
(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
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03 Aug 2025, 08:58
03 Aug 2025, 08:58
Expert Reply
Given:
- Regular gas price $\(=\$ 3.00\)$ per gallon
- Regular gas consumption $\(=25\)$ miles per gallon
- Premium gas price $\(=\$ 4.00\)$ per gallon
- Premium gas consumption $\(=30\)$ miles per gallon
- Trip distance $\(=300\)$ miles
Step 1: Calculate gallons used for 300 miles for each gas type:
- Regular gas gallons:
$$
\(\frac{300 \text { miles }}{25 \text { miles } / \text { gallon }}=12 \text { gallons }\)
$$
- Premium gas gallons:
$$
\(\frac{300 \text { miles }}{30 \text { miles } / \text { gallon }}=10 \text { gallons }\)
$$
Step 2: Calculate the total cost for each gas type for the 300-mile trip:
- Regular gas cost:
$$
\(12 \text { gallons } \times \$ 3.00 / \text { gallon }=\$ 36.00\)
$$
- Premium gas cost:
$$
\(10 \text { gallons } \times \$ 4.00 / \text { gallon }=\$ 40.00\)
$$
Step 3: Calculate how much more it will cost to use premium:
$$
\(40.00-36.00=\$ 4.00\)
$$
Final answer:
(B) $\(\$ 4\)$
- Regular gas price $\(=\$ 3.00\)$ per gallon
- Regular gas consumption $\(=25\)$ miles per gallon
- Premium gas price $\(=\$ 4.00\)$ per gallon
- Premium gas consumption $\(=30\)$ miles per gallon
- Trip distance $\(=300\)$ miles
Step 1: Calculate gallons used for 300 miles for each gas type:
- Regular gas gallons:
$$
\(\frac{300 \text { miles }}{25 \text { miles } / \text { gallon }}=12 \text { gallons }\)
$$
- Premium gas gallons:
$$
\(\frac{300 \text { miles }}{30 \text { miles } / \text { gallon }}=10 \text { gallons }\)
$$
Step 2: Calculate the total cost for each gas type for the 300-mile trip:
- Regular gas cost:
$$
\(12 \text { gallons } \times \$ 3.00 / \text { gallon }=\$ 36.00\)
$$
- Premium gas cost:
$$
\(10 \text { gallons } \times \$ 4.00 / \text { gallon }=\$ 40.00\)
$$
Step 3: Calculate how much more it will cost to use premium:
$$
\(40.00-36.00=\$ 4.00\)
$$
Final answer:
(B) $\(\$ 4\)$
gmatclubot
Re: Regular gas costs $3.00 a gallon and is consumed at a rate of 25 miles [#permalink]
03 Aug 2025, 08:58
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