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TAGS: GRE Prep Club Legend  Joined: 07 Jun 2014
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GRE 1: Q167 V156 WE: Business Development (Energy and Utilities)
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Working continuously 24 hours a day, a factory bottles Soda [#permalink]
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Expert's post 00:00

Question Stats: 41% (01:46) correct 58% (01:23) wrong based on 17 sessions
Working continuously 24 hours a day, a factory bottles Soda Q at a rate of 500 liters per second and Soda V at a rate of 300 liters per second. If twice as many bottles of Soda V as of Soda Q are filled at the factory each day, what is the ratio of the volume of a bottle of Soda Q to a bottle of Soda V?

(A)$$\frac{3}{10}$$
(B)$$\frac{5}{6}$$
(C)$$\frac{6}{5}$$
(D)$$\frac{8}{3}$$
(E)$$\frac{10}{3}$$
[Reveal] Spoiler: OA

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Sandy
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Director  Joined: 07 Jan 2018
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Re: Working continuously 24 hours a day, a factory bottles Soda [#permalink]
From question,
A factory bottles soda Q at the rate of 500 litres every second
or, $$500 * 3600$$ litres every hr
or, $$500 * 3600 * 24$$ litres every day

Let us assume that every bottle of soda Q is of $$500$$ litres.
Hence no of bottles manufactured in the factory = $$\frac{500 * 3600 * 24}{500} = 86400$$

Soda V on the other hand is bottled at the rate of 300 litres every second

Therefore in 1 day total litres filled = $$300 * 24 * 3600$$.
We know that the total numbers bottled must be twice the number of Soda Q bottle.
Therefore, we can form a eqn to find the volume of each bottle.

$$\frac{300 * 24 * 3600}{x} = 2 * 86400$$
or, $$3 * 24 * 3600 = 1728x$$
solving for $$x$$ we get,
$$x = 150$$
Hence volume of soda Q = 500 while volume of soda V = 150
Ratio = $$\frac{500}{150} = \frac{50}{15} = \frac{10}{3}$$
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This is my response to the question and may be incorrect. Feel free to rectify any mistakes

GRE Prep Club Legend  Joined: 07 Jun 2014
Posts: 4857
GRE 1: Q167 V156 WE: Business Development (Energy and Utilities)
Followers: 105

Kudos [?]: 1775 , given: 397

Re: Working continuously 24 hours a day, a factory bottles Soda [#permalink]
Expert's post
Explanation

If twice as many bottles of Soda V as of Soda Q are filled at the factory each day, then twice as many bottles of Soda V as of Soda Q are filled at the factory each second.

Use smart numbers for the number of bottles filled each second. Since twice as many bottles of Soda V are produced, the output in one second could be 100 bottles of Soda V and 50 bottles of Soda Q.

Using these numbers, the volume of the Q bottles is 500 liters ÷ 50 bottles = 10 liters per bottle and the volume of the V bottles is 300 liters ÷ 100 bottles = 3 liters per bottle. The ratio of the volume of a bottle of Q to a bottle of V is 10 liters ÷ 3 liters = $$\frac{10}{3}$$.
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Re: Working continuously 24 hours a day, a factory bottles Soda [#permalink]
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Let the number of bottles be q and v. v = 2q

Volume of a bottle of V = 300/2q
Volume of a bottle of Q = 500/q

Answer = 500/q divided by 300/2q = 10/3 Re: Working continuously 24 hours a day, a factory bottles Soda   [#permalink] 04 Nov 2018, 06:10
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