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A Watertank containing water started to leak.

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A Watertank containing water started to leak.  [#permalink]

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A Watertank containing water started to leak. Did the tank contain more than 30 gallons of water when it started to leak? (Note: 1 gallon = 128 ounces)

(1) The water leaked from the tank at a constant rate of 6.4 ounces per minute.
(2) The tank became empty less than 9.5 hours after it started to leak.

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Re: A Watertank containing water started to leak.  [#permalink]

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New post 18 Oct 2019, 01:03
gmatbusters wrote:
A Watertank containing water started to leak. Did the tank contain more than 30 gallons of water when it started to leak? (Note: 1 gallon = 128 ounces)

(1) The water leaked from the tank at a constant rate of 6.4 ounces per minute.
(2) The tank became empty less than 9.5 hours after it started to leak.


This is a 'range' question: we need to find out if the volume is more than 30 gallons. Unfortunately, there is usually no way around explicit calculations in these questions as the statement will also give us ranges and we'll need to see if they overlap or not. So we'll calculate -- a Precise approach.

(1) without information on the time, we cannot calculate anything.
Insufficient.

(2) without information on the rate of leakage, we cannot calculate anything.
Insufficient.

The maximal amount of water in the tank is 6.4 ounces/minute over 9.5 hours:
6.4 ounces/minute * 60 minutes/hours * 9.5 hours * 1/128 gallons/ounces = 6.4*60*9.5/128 gallons. 6.4*60 = 360 + 24 = 384, and 384*9.5 = about 3840 - 200 = 3640. Since 3640/128 < 30, the answer is definitively NO.

(C) it is.

Note that the types of calculations seen in statement (2) aren't very typical -- most GMAT calculation involve far friendlier numbers.
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Re: A Watertank containing water started to leak.   [#permalink] 18 Oct 2019, 01:03
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