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m and n are both positive. Pump A pumps n liters of water per minute

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Bunuel
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m and n are both positive. Pump A pumps n liters of water per minute [#permalink] New post   11 May 2021, 19:00
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m and n are both positive. Pump A pumps n liters of water per minute, and pump B pumps m liters of water per minute. Is m < n ?

(1) x is the number of minutes it takes pump B to fill a 100 liter container alone, and 3x is the number of minutes it takes pump B to fill a 100 liter container while pump A pumps water out of that container.

(2) It takes (3x/2) minutes for pump A to fill a 100 liter container alone.
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Re: m and n are both positive. Pump A pumps n liters of water per minute [#permalink] New post   12 May 2021, 00:05
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m and n are both positive. Pump A pumps n liters of water per minute, and pump B pumps m liters of water per minute. Is m < n ?

(1) x is the number of minutes it takes pump B to fill a 100 liter container alone, and 3x is the number of minutes it takes pump B to fill a 100 liter container while pump A pumps water out of that container.
Whatever be the value of x, but we know that pump B fills up the container even when pump A is draining it.
Thus the speed of B has to be greater than the speed of pump A.
Sufficient.

(2) It takes (3x/2) minutes for pump A to fill a 100 liter container alone.
Nothing about pump B.
Insufficient

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Re: m and n are both positive. Pump A pumps n liters of water per minute [#permalink] New post   12 May 2021, 04:48
Bunuel wrote:
m and n are both positive. Pump A pumps n liters of water per minute, and pump B pumps m liters of water per minute. Is m < n ?

(1) x is the number of minutes it takes pump B to fill a 100 liter container alone, and 3x is the number of minutes it takes pump B to fill a 100 liter container while pump A pumps water out of that container.

(2) It takes (3x/2) minutes for pump A to fill a 100 liter container alone.



Statement 1:
Pump is getting filled when Pump A pumps out and Pump B pumps in
So Rate of B is more
Sufficient

statement 2:
No information about pump B

A is the answer IMO
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Re: m and n are both positive. Pump A pumps n liters of water per minute [#permalink] New post   13 May 2021, 00:37
Bunuel wrote:
m and n are both positive. Pump A pumps n liters of water per minute, and pump B pumps m liters of water per minute. Is m < n ?

(1) x is the number of minutes it takes pump B to fill a 100 liter container alone, and 3x is the number of minutes it takes pump B to fill a 100 liter container while pump A pumps water out of that container.

(2) It takes (3x/2) minutes for pump A to fill a 100 liter container alone.


IMO A

(1) x is the number of minutes it takes pump B to fill a 100 liter container alone, and 3x is the number of minutes it takes pump B to fill a 100 liter container while pump A pumps water out of that container.

N*x =M*3x
solving we get N=3M hence N is always greater than M ,sufficient

(2) It takes (3x/2) minutes for pump A to fill a 100 liter container alone.

No info on Pump B hence in sufficient
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Re: m and n are both positive. Pump A pumps n liters of water per minute [#permalink]
13 May 2021, 00:37
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Bunuel
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