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by abhirup1711 » Thu Jul 25, 2013 3:00 am
If it is 6:27 in the evening on a certain day, what time in the morning was it exactly 2,880,717 minutes earlier? (Assume standard time in one location.)
(A) 6:22
(B) 6:24
(C) 6:27
(D) 6:30
(E) 6:32

Can an expert please show me the easiest way to solve this?
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by GMATGuruNY » Thu Jul 25, 2013 3:54 am
abhirup1711 wrote:If it is 6:27 in the evening on a certain day, what time in the morning was it exactly 2,880,717 minutes earlier? (Assume standard time in one location.)
(A) 6:22
(B) 6:24
(C) 6:27
(D) 6:30
(E) 6:32

Can an expert please show me the easiest way to solve this?
The number of minutes in each 24-hour period = 24*60 = 1440.
Thus, every time the clock turns back a number of minutes that is a multiple of 1440, the clock turns back a FULL DAY, so that the time will be the same as it is now:
6:27pm.

1440*2 = 2880.
Since 2,880,000 is a multiple of 1440, the time 2,880,000 minutes ago was the same as it is now:
6:27pm.

We need to determine the time when the clock turns back another 717 minutes.
The number of minutes in a 12-hour period = 1/2 * 1440 = 720.
Thus, 720 minutes ago -- in other words, 12 hours ago -- the time was 6:27am.
Thus, 717 minutes ago -- 3 minutes LESS than a full 12 hours ago -- the time was 6:30am.

The correct answer is D.
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by suk123 » Sat Jul 27, 2013 11:16 pm
abhirup1711 wrote:If it is 6:27 in the evening on a certain day, what time in the morning was it exactly 2,880,717 minutes earlier? (Assume standard time in one location.)
(A) 6:22
(B) 6:24
(C) 6:27
(D) 6:30
(E) 6:32

Can an expert please show me the easiest way to solve this?
I am not sure if it's the most efficient method, but this is how I did it

First find the number of hours: 288717/60 = 4811 57/60
Adjust the lost 57 minutes into the clock which comes down from 6:27 PM to 5:30 PM

Second adjust the days: 4811/24 = 20 11/24
Bring back the Clock 11 hours from the first step which comes down from 5:30 PM to 6:30 AM

So your answer is D
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