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# Working at a constant rate, a certain hose can fill a pool in 10 minut

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Math Expert
Joined: 02 Sep 2009
Posts: 53061
Working at a constant rate, a certain hose can fill a pool in 10 minut  [#permalink]

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18 Jan 2019, 00:15
00:00

Difficulty:

15% (low)

Question Stats:

94% (01:19) correct 6% (00:57) wrong based on 21 sessions

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Working at a constant rate, a certain hose can fill a pool in 10 minutes. Working at a different constant rate, another hose can fill the same pool in 15 minutes. If the two hoses work together but independently to fill the pool after it is half full, how many minutes will it take the hoses to fill the pool?

A 3
B 4.5
C 5
D 6
E 12.5

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Re: Working at a constant rate, a certain hose can fill a pool in 10 minut  [#permalink]

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18 Jan 2019, 08:52
Bunuel wrote:
Working at a constant rate, a certain hose can fill a pool in 10 minutes. Working at a different constant rate, another hose can fill the same pool in 15 minutes. If the two hoses work together but independently to fill the pool after it is half full, how many minutes will it take the hoses to fill the pool?

A 3
B 4.5
C 5
D 6
E 12.5

rate when combined hose works
1/10 + 1/15 = 5/30 = 1/6 = 6 hrs
so filling half pool = 3 hrs
IMO A
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Re: Working at a constant rate, a certain hose can fill a pool in 10 minut   [#permalink] 18 Jan 2019, 08:52
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