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Bruce and Anne can clean their house in 4 hours working toge [#permalink]
05 May 2013, 20:49

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A

B

C

D

E

Difficulty:

25% (medium)

Question Stats:

74% (02:16) correct
26% (01:39) wrong based on 61 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

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.