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# Jim can fill a pool carrying buckets of water in 30 minutes. Sue can

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Math Expert
Joined: 02 Sep 2009
Posts: 64234
Jim can fill a pool carrying buckets of water in 30 minutes. Sue can  [#permalink]

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29 Jul 2019, 05:05
00:00

Difficulty:

15% (low)

Question Stats:

86% (01:24) correct 14% (02:20) wrong based on 51 sessions

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Jim can fill a pool carrying buckets of water in 30 minutes. Sue can do the same job in 45 minutes. Tony can do the same job in 1 ½ hours. How quickly can all three fill the pool together?

A. 12 minutes
B. 15 minutes
C. 21 minutes
D. 23 minutes
E. 28 minutes

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Joined: 16 Apr 2019
Posts: 122
Location: India
Concentration: Marketing, Sustainability
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Re: Jim can fill a pool carrying buckets of water in 30 minutes. Sue can  [#permalink]

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29 Jul 2019, 05:11
B.
1/30 + 1/45 + 1/90 = 6/90 = 1/15
Ans: 15
Manager
Joined: 02 Jun 2014
Posts: 65
Location: India
GMAT 1: 720 Q49 V40
Re: Jim can fill a pool carrying buckets of water in 30 minutes. Sue can  [#permalink]

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29 Jul 2019, 05:29
Easiest way to attempt these questions is to remember only add and equate rates.

Ra + Rb + Rc = Rabc

Then use Rate = work / time

Let v b volume of pool

Ra V/30
Rb V/60
Rc V/90

Putting it in above formula

Ra + Rb + Rc = V ( 1/30+ 1/60 + 1/90 )

Rabc = V/15

Rabc = V / Tabc

V/15 = V / Tabc

Tabc = 15 minutes

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Manager
Joined: 02 Jun 2014
Posts: 65
Location: India
GMAT 1: 720 Q49 V40
Re: Jim can fill a pool carrying buckets of water in 30 minutes. Sue can  [#permalink]

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29 Jul 2019, 05:46
Easiest way to attempt these questions is to remember only add and equate rates.

Ra + Rb + Rc = Rabc

Then use Rate = work / time

Let v b volume of pool

Ra V/30
Rb V/60
Rc V/90

Putting it in above formula

Ra + Rb + Rc = V ( 1/30+ 1/60 + 1/90 )

Rabc = V/15

Rabc = V / Tabc

V/15 = V / Tabc

Tabc = 15 minutes

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VP
Joined: 18 Dec 2017
Posts: 1377
Location: United States (KS)
GMAT 1: 600 Q46 V27
Re: Jim can fill a pool carrying buckets of water in 30 minutes. Sue can  [#permalink]

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29 Jul 2019, 08:27
Bunuel wrote:
Jim can fill a pool carrying buckets of water in 30 minutes. Sue can do the same job in 45 minutes. Tony can do the same job in 1 ½ hours. How quickly can all three fill the pool together?

A. 12 minutes
B. 15 minutes
C. 21 minutes
D. 23 minutes
E. 28 minutes

Units of Work be 90.
Units of Work done in each minute : 3,2 and 1. Total 6.
90/6 is 15 minutes.
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Re: Jim can fill a pool carrying buckets of water in 30 minutes. Sue can  [#permalink]

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06 Aug 2019, 16:58
Bunuel wrote:
Jim can fill a pool carrying buckets of water in 30 minutes. Sue can do the same job in 45 minutes. Tony can do the same job in 1 ½ hours. How quickly can all three fill the pool together?

A. 12 minutes
B. 15 minutes
C. 21 minutes
D. 23 minutes
E. 28 minutes

We can create the rate equation, where n = the combined time it takes all 3:

1/30 + 1/45 + 1/90 = 1/n

3/90 + 2/90 + 1/90 = 1/n

6/90 = 1/n

1/15 = 1/n

15 = n

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Re: Jim can fill a pool carrying buckets of water in 30 minutes. Sue can   [#permalink] 06 Aug 2019, 16:58