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# Three hoses, x, y, and z, pump water simultaneously at a rate of 600 g

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Math Expert
Joined: 02 Sep 2009
Posts: 52296
Three hoses, x, y, and z, pump water simultaneously at a rate of 600 g  [#permalink]

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21 Mar 2017, 03:37
00:00

Difficulty:

15% (low)

Question Stats:

79% (00:55) correct 21% (00:32) wrong based on 54 sessions

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Three hoses, x, y, and z, pump water simultaneously at a rate of 600 gallons per hour. If each hose is independent of the other two hoses, at what rate does each hose pump water?

(1) x pumps water at a rate of 150 gallons per hour.
(2) y pumps water at half the rate of x.

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Three hoses, x, y, and z, pump water simultaneously at a rate of 600 g  [#permalink]

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21 Mar 2017, 03:46
1/x + 1/y+ 1/z = 1/600

1. x's rate is given. doesn't help with other two. INSUFFICIENT
2. y=1/2*x, gives nothing about x and z. INSUFFICIENT

combining 1 and 2, we get x and y, so z can be deduced. Hence C.
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Re: Three hoses, x, y, and z, pump water simultaneously at a rate of 600 g  [#permalink]

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28 Mar 2017, 12:08
Bunuel wrote:
Three hoses, x, y, and z, pump water simultaneously at a rate of 600 gallons per hour. If each hose is independent of the other two hoses, at what rate does each hose pump water?

(1) x pumps water at a rate of 150 gallons per hour.
(2) y pumps water at half the rate of x.

Prompt tells us X + Y + Z = 600

1) 150 + Y + Z = 600. --> Y + Z = 450. INSUFF

2) X + 1/2(X) + Z = 600. INSUFF (X could be 100, 150, 200 etc...)

1) & 2) 150 + 75 + y = 600. --> Y = (600 - 150 - 75). SUFFICIENT
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Re: Three hoses, x, y, and z, pump water simultaneously at a rate of 600 g &nbs [#permalink] 28 Mar 2017, 12:08
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