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A car goes 15 miles on a gallon of gas when it is driven at 50 miles

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A car goes 15 miles on a gallon of gas when it is driven at 50 miles  [#permalink]

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New post 31 Oct 2017, 00:01
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E

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Question Stats:

87% (01:12) correct 13% (01:24) wrong based on 84 sessions

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A car goes 15 miles on a gallon of gas when it is driven at 50 miles per hour. When the car is driven at 60 miles per hour it only goes 80 percent as far. How many gallons of gas will it take to travel 120 miles driving at 60 miles per hour?

(A) 2
(B) 6.4
(C) 8
(D) 9.6
(E) 10

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Re: A car goes 15 miles on a gallon of gas when it is driven at 50 miles  [#permalink]

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New post 31 Oct 2017, 01:39
At 60 miles per hour, the car will go 15*80%=12 miles on a gallon of gas.

So, 1 {gallon} = 12 {miles}; multiply both sides with ten: 10 {gallon} = 120 {miles}.

Hence, option (E).
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Re: A car goes 15 miles on a gallon of gas when it is driven at 50 miles  [#permalink]

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New post 01 Nov 2017, 17:06
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Bunuel wrote:
A car goes 15 miles on a gallon of gas when it is driven at 50 miles per hour. When the car is driven at 60 miles per hour it only goes 80 percent as far. How many gallons of gas will it take to travel 120 miles driving at 60 miles per hour?

(A) 2
(B) 6.4
(C) 8
(D) 9.6
(E) 10


When the car is driven at 60 mph, the car goes 0.8 x 15 = 12 miles, so the rate is 12 miles per gallon.

Thus, to drive 120 miles at 60 mph, the number of gallons needed is 120/12 = 10 gallons of gas.

Answer: E
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Re: A car goes 15 miles on a gallon of gas when it is driven at 50 miles  [#permalink]

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New post 01 Nov 2017, 18:53
Distance traveled by car @ 60mph= 15*\(\frac{80}{100}\)= 12 miles

Rate of consumption of gas= 12 miles per gallon.

12 miles take consumption of gas= 1 gallon
1...................................................= \(\frac{1}{12}\)

120...............................................= \(\frac{1}{12}\)*120= 10 gallon

Answer: E.
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Re: A car goes 15 miles on a gallon of gas when it is driven at 50 miles &nbs [#permalink] 01 Nov 2017, 18:53
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