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# A small motor uses 27/8 gallons of gasoline every 15 hours. What is th

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Math Expert
Joined: 02 Sep 2009
Posts: 58428
A small motor uses 27/8 gallons of gasoline every 15 hours. What is th  [#permalink]

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26 Mar 2018, 00:11
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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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26 Mar 2018, 00:45
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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26 Mar 2018, 20:10
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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28 Mar 2018, 10:32
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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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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