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Three hoses, x, y, and z, each pump water at a constant rate. How long

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Joined: 02 Sep 2009
Posts: 54401
Three hoses, x, y, and z, each pump water at a constant rate. How long  [#permalink]

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New post 18 Apr 2017, 03:49
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A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

71% (00:59) correct 29% (00:56) wrong based on 138 sessions

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Senior Manager
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Joined: 24 Apr 2016
Posts: 331
Re: Three hoses, x, y, and z, each pump water at a constant rate. How long  [#permalink]

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New post 18 Apr 2017, 08:42
1
Three hoses, x, y, and z, each pump water at a constant rate. How long will it take the hoses to fill up a 30,000-gallon tank?

We would need either the combined rate for hoses x,y & z to pump water or the individual rates for x, y & z

(1) Hose x pumps water at 3 times the speed of z.

This statement just gives the ratio of speeds of x and z. moreover it says nothing about y. Hence this statement is not sufficient.

(2) Hose y pumps water at half the rate of x.

This statement only talks about y and x and nothing about z. Also this statement just gives the ratio of speeds of x and y.Hence this statement is not sufficient.

Combining both statements also is not sufficient, as we only know the ratios but no actual value is given.

Answer is E
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Three hoses, x, y, and z, each pump water at a constant rate. How long  [#permalink]

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New post 24 Jul 2017, 03:05
Bunuel wrote:
Three hoses, x, y, and z, each pump water at a constant rate. How long will it take the hoses to fill up a 30,000-gallon tank?

(1) Hose x pumps water at 3 times the speed of z.
(2) Hose y pumps water at half the rate of x.



If we make the equation

1/6x = x
1/2x = z
1/x = y

1/6x + 1/2x + 1/x = 1/30,000


Why cant be C be correct as we can solve to get X


Please help
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Joined: 19 Jan 2014
Posts: 35
Schools: Melbourne '20
GMAT 1: 670 Q45 V37
Re: Three hoses, x, y, and z, each pump water at a constant rate. How long  [#permalink]

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New post 24 Jul 2017, 06:13
rocko911 wrote:
Bunuel wrote:
Three hoses, x, y, and z, each pump water at a constant rate. How long will it take the hoses to fill up a 30,000-gallon tank?

(1) Hose x pumps water at 3 times the speed of z.
(2) Hose y pumps water at half the rate of x.



If we make the equation

1/6x = x
1/2x = z
1/x = y

1/6x + 1/2x + 1/x = 1/30,000


Why cant be C be correct as we can solve to get X


Please help



Because the actual measurement of the rate is not given. The rate could be gallons/hour or gallons/sec or gallons/min. Unless we know the actual measurement, we cannot determine time taken to fill the tank.
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Re: Three hoses, x, y, and z, each pump water at a constant rate. How long   [#permalink] 24 Jul 2017, 06:13
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Three hoses, x, y, and z, each pump water at a constant rate. How long

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