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Math Expert V
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A small motor uses 27/8 gallons of gasoline every 15 hours. What is th  [#permalink]

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Difficulty:   25% (medium)

Question Stats: 83% (01:16) correct 17% (03:17) wrong based on 31 sessions

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A small motor uses 27/8 gallons of gasoline every 15 hours. What is the motor’s fuel consumption rate, in gallons per day?

(A) 0.225
(B) 1.6
(C) 4.8
(D) 5.2
(E) 5.4

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Re: A small motor uses 27/8 gallons of gasoline every 15 hours. What is th  [#permalink]

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For every 15 hours, gasoline used by a small motor= $$\frac{27}{8}$$ gallons

.................1 hour......................................................= $$\frac{27}{8*15}$$

.................24 hour....................................................= $$\frac{27}{8*15}$$*24= $$\frac{27}{5}$$= 5.4

$$Answer: E.$$
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A small motor uses 27/8 gallons of gasoline every 15 hours. What is th  [#permalink]

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Bunuel wrote:
A small motor uses 27/8 gallons of gasoline every 15 hours. What is the motor’s fuel consumption rate, in gallons per day?

(A) 0.225
(B) 1.6
(C) 4.8
(D) 5.2
(E) 5.4

You can set up a proportion:
$$\frac{Hours}{Hours}=\frac{Gallons}{Gallons}$$

$$\frac{24}{15}=\frac{X}{(\frac{27}{8})}$$

$$\frac{24}{15}=\frac{8X}{27}$$

$$\frac{1}{5}=\frac{X}{27}$$

$$5X = 27$$

$$X = \frac{27}{5}=5.4$$
gallons

NOTE: The proportion's numbers are easy to cancel. You cannot cancel diagonally. Factor out an 8 from both numerators, thus:$$\frac{3}{15}=\frac{X}{27}$$.
Then factor out a 3 from LHS fraction, thus proportion becomes:$$\frac{1}{5}=\frac{X}{27}$$

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Re: A small motor uses 27/8 gallons of gasoline every 15 hours. What is th  [#permalink]

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Bunuel wrote:
A small motor uses 27/8 gallons of gasoline every 15 hours. What is the motor’s fuel consumption rate, in gallons per day?

(A) 0.225
(B) 1.6
(C) 4.8
(D) 5.2
(E) 5.4

We can use the following proportion where x = the number of gallons of gasoline the motor use per day (recall 1 day = 24 hours):

(27/8)/15 = x/24

24(27/8) = 15x

81 = 15x

x = 81/15 = 27/5 = 5 ⅖ = 5.4

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If you find one of my posts helpful, please take a moment to click on the "Kudos" button. Re: A small motor uses 27/8 gallons of gasoline every 15 hours. What is th   [#permalink] 28 Mar 2018, 10:32
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