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# It takes 50 seconds, 60 seconds, and 100 seconds, 3 pumps A, B, and C

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Manager
Joined: 06 Jul 2014
Posts: 104

Kudos [?]: 44 [1], given: 179

Location: India
Concentration: Finance, Entrepreneurship
GMAT 1: 640 Q48 V30
It takes 50 seconds, 60 seconds, and 100 seconds, 3 pumps A, B, and C [#permalink]

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14 Aug 2017, 14:30
1
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1
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Difficulty:

25% (medium)

Question Stats:

84% (02:03) correct 16% (01:57) wrong based on 68 sessions

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It takes 50 seconds, 60 seconds, and 100 seconds, 3 pumps A, B, and C to pour 100 gallons water into a certain lake at their constant rates, respectively. How many seconds it takes 3 pumps to pour 1,000 gallons water into the lake together at their constant rates, approximately, in seconds?

A. 188
B. 194
C. 214
D. 232
E. 241
[Reveal] Spoiler: OA

Last edited by Bunuel on 14 Aug 2017, 20:34, edited 1 time in total.
Renamed the topic and edited the question.

Kudos [?]: 44 [1], given: 179

VP
Joined: 22 May 2016
Posts: 1252

Kudos [?]: 464 [1], given: 683

Re: It takes 50 seconds, 60 seconds, and 100 seconds, 3 pumps A, B, and C [#permalink]

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14 Aug 2017, 15:40
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Bounce1987 wrote:
It takes 50 seconds, 60 seconds, and 100 seconds, 3 pumps A, B, and C to pour 100 gallons water into a certain lake at their constant rates, respectively. How many seconds it takes 3 pumps to pour 1,000 gallons water into the lake together at their constant rates, approximately, in seconds?
A. 188 B. 194 C. 214 D. 232 E. 241

These numbers are huge. Reduce before adding.

Pump A rate = $$\frac{100gal}{50secs}$$ = $$\frac{2 gal}{1sec}$$

Pump B rate = $$\frac{100gal}{60secs}$$ =$$\frac{\frac{5}{3}gal}{1sec}$$

Pump C rate = $$\frac{100gal}{100secs}$$ = $$\frac{1gal}{1sec}$$

ADD numerator of rates (same denominator, 1 sec):
2 + $$\frac{5}{3}$$ + 1 =$$\frac{\frac{14}{3}gal}{1sec}$$

W/r = t

$$\frac{1,000}{\frac{14}{3}}$$= (1,000 * $$\frac{3}{14}$$) = $$\frac{1,500}{7}$$

Approximately 214 seconds

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At the still point, there the dance is. -- T.S. Eliot
Formerly genxer123

Kudos [?]: 464 [1], given: 683

Re: It takes 50 seconds, 60 seconds, and 100 seconds, 3 pumps A, B, and C   [#permalink] 14 Aug 2017, 15:40
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