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Bruce and Anne can clean their house in 4 hours working toge [#permalink]
05 May 2013, 20:49
2
This post received KUDOS
2
This post was BOOKMARKED
00:00
A
B
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D
E
Difficulty:
35% (medium)
Question Stats:
67% (02:22) correct
33% (01:39) wrong based on 102 sessions
Bruce and Anne can clean their house in 4 hours working together at their respective constant rates. If Anne’s speed were doubled, they could clean their house in 3 hours working at their respective rates. How many hours does it currently take Anne to clean the house on her own?
Re: Anne and Bruce [#permalink]
05 May 2013, 21:09
Lets suppose Anne and Bruce take A and B hrs working separately So in 1 hour they can together finish 1/A + 1/B portion of the work which equals 1/4 (As the work is completed in 4 hours) After anne doubles her rate of work the portion completed by the both is 1/A +2/B which is equal to 1/3 (As the work is completed in 3 hours)
Solving these 2 equations we can find B as 12 So, D _________________
When you feel like giving up, remember why you held on for so long in the first place.
Last edited by aceacharya on 06 May 2013, 06:40, edited 1 time in total.
Re: Bruce and Anne can clean their house in 4 hours working toge [#permalink]
05 May 2013, 23:44
1
This post received KUDOS
Expert's post
pikachu wrote:
Bruce and Anne can clean their house in 4 hours working together at their respective constant rates. If Anne’s speed were doubled, they could clean their house in 3 hours working at their respective rates. How many hours does it currently take Anne to clean the house on her own?
Re: Bruce and Anne can clean their house in 4 hours working toge [#permalink]
14 May 2013, 01:35
madzstar wrote:
DaNG! All you people did some complex workout all i did was 3x4= 12 FINISHED! hahahahaaa
I truly appreciate your answering quality. Rather having confusing and complex workout,solution must be precise and illustrative. I agree to your answering skill.The answer is D.
Re: Bruce and Anne can clean their house in 4 hours working toge [#permalink]
06 Apr 2015, 08:04
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