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Water started leaking from a tank yesterday at 12:00 noon at

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Water started leaking from a tank yesterday at 12:00 noon at [#permalink] New post 04 Mar 2017, 08:20
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Water started leaking from a tank yesterday at 12:00 noon at a constant rate of 0.5 ounce per second and continued leaking at this rate until the tank was empty. If the tank was empty before 8:00 yesterday evening, which of the following could have been the amount of water in the tank, in ounces, yesterday at 12:00 noon?

Indicate all such amounts.

❑ 1,280

❑ 6,480

❑ 10,240

❑ 12,800

❑ 15,360

[Reveal] Spoiler: OA
A,B,C, and D
[Reveal] Spoiler: OA

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Re: Water started leaking from a tank yesterday at 12:00 noon at [#permalink] New post 10 Mar 2017, 17:12
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Explanation

Since the rate of the leak is given in ounces per seconds, figure out how many seconds are in the 8 hours between 12:00 noon and 8:00 pm:
\(8 hours \times \frac{60 minutes}{1 hour} \times \frac{60 seconds}{1 minute} = 28,800 seconds\).

Let number of ounces leaked in 8 hours be x.

\(\frac{Ounces:}{Seconds:}= \frac{0.5}{1} =\frac{y}{28,800}\)

\((0.5)(28,800) = (1)x\)

So x = 14,400.

So in 8 hours, the tank could lose 14,400 ounces, the answer must be all choices less than 14,400. Only the last choice, 15,360, is impossible because it would take longer than 8 hours to leak this many ounces.

Hence option A, B, C and D are correct.
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Re: Water started leaking from a tank yesterday at 12:00 noon at [#permalink] New post 04 Sep 2018, 19:22
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.5 ounce in a second, meaning 1800 ounce in a hour.
The pump was stated emptying from 12.00 at noon and emptied before 8.00 at evening.
Which means, the pump can pour more than 1800 * 8 = 14400 ounce of water.
SO the answer will all option lesser than 14000 ounce.
Re: Water started leaking from a tank yesterday at 12:00 noon at   [#permalink] 04 Sep 2018, 19:22
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