It is currently 14 Dec 2018, 07:51

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Working continuously 24 hours a day, a factory bottles Soda

Author Message
TAGS:
GMAT Club Legend
Joined: 07 Jun 2014
Posts: 4749
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 93

Kudos [?]: 1659 [1] , given: 396

Working continuously 24 hours a day, a factory bottles Soda [#permalink]  06 Jul 2018, 16:25
1
KUDOS
Expert's post
00:00

Question Stats:

42% (01:33) correct 57% (01:23) wrong based on 14 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

_________________

Sandy
If you found this post useful, please let me know by pressing the Kudos Button

Try our free Online GRE Test

Director
Joined: 07 Jan 2018
Posts: 553
Followers: 4

Kudos [?]: 477 [0], given: 84

Re: Working continuously 24 hours a day, a factory bottles Soda [#permalink]  07 Jul 2018, 17:43
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 = $$\frac{500}{150} = \frac{50}{15} = \frac{10}{3}$$
_________________

This is my response to the question and may be incorrect. Feel free to rectify any mistakes

GMAT Club Legend
Joined: 07 Jun 2014
Posts: 4749
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 93

Kudos [?]: 1659 [0], given: 396

Re: Working continuously 24 hours a day, a factory bottles Soda [#permalink]  10 Jul 2018, 06:17
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 = $$\frac{10}{3}$$.
_________________

Sandy
If you found this post useful, please let me know by pressing the Kudos Button

Try our free Online GRE Test

Intern
Joined: 27 Oct 2018
Posts: 49
Followers: 0

Kudos [?]: 12 [1] , given: 27

Re: Working continuously 24 hours a day, a factory bottles Soda [#permalink]  04 Nov 2018, 06:10
1
KUDOS
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
Display posts from previous: Sort by