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

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Joined: 02 Sep 2009
Posts: 57279
Jim can fill a pool carrying buckets of water in 30 minutes. Sue can  [#permalink]

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New post 29 Jul 2019, 06:05
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

88% (01:23) correct 12% (02:19) wrong based on 43 sessions

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Joined: 16 Apr 2019
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Re: Jim can fill a pool carrying buckets of water in 30 minutes. Sue can  [#permalink]

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New post 29 Jul 2019, 06:11
B.
1/30 + 1/45 + 1/90 = 6/90 = 1/15
Ans: 15
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Re: Jim can fill a pool carrying buckets of water in 30 minutes. Sue can  [#permalink]

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New post 29 Jul 2019, 06:29
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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Joined: 02 Jun 2014
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Re: Jim can fill a pool carrying buckets of water in 30 minutes. Sue can  [#permalink]

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New post 29 Jul 2019, 06:46
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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Re: Jim can fill a pool carrying buckets of water in 30 minutes. Sue can  [#permalink]

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New post 29 Jul 2019, 09:27
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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New post 06 Aug 2019, 17:58
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

Answer: B
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Re: Jim can fill a pool carrying buckets of water in 30 minutes. Sue can   [#permalink] 06 Aug 2019, 17:58
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