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Between 8 am and Noon are 4 hours = 240 minutes. Let T = 240 - x, and T - 60 = 3*x. Where T is right now, T-60 is one hour ago, and x is the number of minutes before noon, and 3*x is the number of minutes after 8am.

Substitute the first equation into the second & solve for x:

240 - x - 60 = 3*x --> 180 = 4*x --> x = 45, So it is 45 minutes before noon (11:15), and 1 hour ago (10:15) it was 2 hrs 15 minutes after 8 am (135 minutes), and yes 135 is 3 times 45, so it works.

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13y ago
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Anonymous

Lvl 1
3y ago

11:15 clock

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Q: How many minutes before 12 noon is it if one hour ago it was three times as many minutes after 8 am?
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