Gasoline varies in cost from $0.96 to $1.12 per gallon...

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BTGmoderatorLU: Moderator; Posts: 2505; Joined: Sun Oct 15, 2017 1:50 pm; Followed by:6 members

Gasoline varies in cost from $0.96 to $1.12 per gallon...

by BTGmoderatorLU » Fri Nov 24, 2017 11:55 am

Gasoline varies in cost from $0.96 to $1.12 per gallon. If a car's mileage varies from 16 to 24 miles per gallon, what is the difference between the most and least that the gasoline for a 480-mile trip will cost?

A. $ 5.12
B. $ 7.04
C. $11.52
D. $14.40
E. $52.80

The OA is D.

I'm confused with this PS question. Please, can any expert assist me with it? Thanks in advanced.

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Source: Beat The GMAT — Problem Solving | Fri Nov 24, 2017 11:55 am

DavidG@VeritasPrep: Legendary Member; Posts: 2663; Joined: Wed Jan 14, 2015 8:25 am; Location: Boston, MA; Thanked: 1153 times; Followed by:128 members; GMAT Score:770

by DavidG@VeritasPrep » Fri Nov 24, 2017 12:16 pm

LUANDATO wrote:Gasoline varies in cost from $0.96 to $1.12 per gallon. If a car's mileage varies from 16 to 24 miles per gallon, what is the difference between the most and least that the gasoline for a 480-mile trip will cost?

A. $ 5.12
B. $ 7.04
C. $11.52
D. $14.40
E. $52.80

The OA is D.

I'm confused with this PS question. Please, can any expert assist me with it? Thanks in advanced.

Highest cost = $1.12 per gallon for the worst gas mileage, or 16 miles/gallon. A 480 mile trip will consume 480/16 = 30 gallons, for a total cost of 30 * 1.12. = $33.60

Lowest cost = $.96 per gallon for the best gas mileage of 24 miles/gallon. A 480 mile trip will consume 480/24 = 20 gallons, for a total cost of 20* .96. = $ 19.20

Difference = 33.60 - 19.20 = 14.40; The answer is D

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Scott@TargetTestPrep: GMAT Instructor; Posts: 8086; Joined: Sat Apr 25, 2015 10:56 am; Location: Los Angeles, CA; Thanked: 43 times; Followed by:29 members

by Scott@TargetTestPrep » Fri Dec 15, 2017 6:06 am

LUANDATO wrote:Gasoline varies in cost from $0.96 to $1.12 per gallon. If a car's mileage varies from 16 to 24 miles per gallon, what is the difference between the most and least that the gasoline for a 480-mile trip will cost?

A. $ 5.12
B. $ 7.04
C. $11.52
D. $14.40
E. $52.80

To determine the most expensive price for gas, we take the smallest (worst) mileage and the largest price. Thus, for the 480 miles, the most expensive the gas could be is:

480 x 1.12/16 = $33.60

For the least expensive, we'd take the largest (best) mileage and the smallest price:

480 x 0.96/24 = $19.20

Thus, the difference is 33.6 - 19.2 = $14.40

Answer: D

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