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Senior Manager
Joined: 08 Nov 2008
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18 May 2009, 21:06
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Pls dicsuss !!
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Senior Manager
Joined: 08 Jan 2009
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19 May 2009, 01:55
The cold water leak takes c hours to fill a bucket.
The cold water leak takes h hours to fill a bucket. where c < h .

the so total work done in one hour is = 1/c + 1/h = c + h / ch

the time take to fill the bucket t = hc / c+h

i took diff value for c and h such that c < h like c =2 and h = 6 so t = 1.5

I and III satisfied.

But still not sure.
Manager
Joined: 12 Apr 2006
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Location: India

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19 May 2009, 02:49
Got it all wrong

Last edited by humans on 19 May 2009, 07:11, edited 2 times in total.
Senior Manager
Joined: 08 Jan 2009
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19 May 2009, 05:42
hi humans

when u take c = 5 and h = 6 then t = 5 * 6 / 11 = 2.7

2.5 < 2.7 < 6

so still III satisfies. please correct me if i am wrong
Manager
Joined: 12 Apr 2006
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19 May 2009, 07:10
tkarthi4u wrote:
hi humans

when u take c = 5 and h = 6 then t = 5 * 6 / 11 = 2.7

2.5 < 2.7 < 6

so still III satisfies. please correct me if i am wrong

Yes tkarthi4u you are right. I got it all wrong, it seems I was sleeping while looking at the question..............
GMAT Tutor
Joined: 24 Jun 2008
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19 May 2009, 15:57
The cold tap is faster than the hot tap, since it takes less time to fill the basin.

The time it takes the taps together must be less than the time it takes either tap on its own, so t < c < h.

c/2 is the time it takes two cold taps. The cold tap is better than the hot tap, so when we use one cold tap and one hot tap, it must take longer than it would take two cold taps. So c/2 < t. Similarly, h/2 is the time it takes two hot taps. We have a cold and a hot; the cold is faster than the hot, so t < h/2. Combining these, c/2 < t < h/2.

So I and III must be true, II must be false.
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Manager
Joined: 12 Apr 2006
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Location: India

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20 May 2009, 01:50
IanStewart wrote:
The cold tap is faster than the hot tap, since it takes less time to fill the basin.

The time it takes the taps together must be less than the time it takes either tap on its own, so t < c < h.

c/2 is the time it takes two cold taps. The cold tap is better than the hot tap, so when we use one cold tap and one hot tap, it must take longer than it would take two cold taps. So c/2 < t. Similarly, h/2 is the time it takes two hot taps. We have a cold and a hot; the cold is faster than the hot, so t < h/2. Combining these, c/2 < t < h/2.

So I and III must be true, II must be false.

Excellent explanation. Thanks
Re: gmatprep   [#permalink] 20 May 2009, 01:50
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