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# Midnight

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Midnight - Back to the Cool Math Games

If it were two hours later, it would be half as long until midnight as it would be if it were an hour later. What time is it now?

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Midnight - solution

9 p.m.

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• 3 months later...

9 PM

(1) 9 PM + 2 hrs = 11 PM or (midnight - 11 PM) = 1 hr

(2) 9 PM + 1 hr = 10 PM (midnight - 10 PM) = 2 hrs

So, (1) = 1/2 of (2)

OR straight up:

Where:

X = Solution Time

T = Midnight - X

(a) 12 - (X + 1) = T

(b.1) 12 - (X + 2) = T/2

(b.2) 24 - (2*X + 4) = T

Then:

(a) = (b.2) gives:

(c.1) 12 - (X + 1) = 24 - (2*X + 4)

(c.2) - X - 1 = 12 - 2*X - 4

(c.3) X = 12 - 3 = 9

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I HATE number puzzles.

I never excelled at math. So that makes me an "arithmephobe." Words and punctuation were always my forte.

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• 1 month later...

its not even a numbers puzzle...its common sense

if its 9pm... 2 hours later would be 11pm.. 1 hour later would be 10 pm... 11pm is half the distance from midnight as 10pm

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• 3 months later...

I got the easy answer of course, but wouldn't 10:20 pm work as well if you think of it a bit differently? One hour later is 11:20, 40 minutes away from midnight, 2 hours later would be 12:20, 20 minutes away from midnight. 20 is half of 40(for those who need the help lol)

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I got the easy answer of course, but wouldn't 10:20 pm work as well if you think of it a bit differently? One hour later is 11:20, 40 minutes away from midnight, 2 hours later would be 12:20, 20 minutes away from midnight. 20 is half of 40(for those who need the help lol)

Except that the original puzzle states "half as long until midnight". If it were "half as far from midnight", 10:20 pm would work. However, 12:20am is a whopping 23 hours and 40 minutes from the next midnight, which throws the whole thing off...

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• 1 month later...

why coulnt it be 8pm.

That would be 4 hours until midnight- if its two hours later- its 10pm. which is two hours until midnight.

2 hrs. is half as long as 4 hrs. so why cant this work??

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why coulnt it be 8pm.

That would be 4 hours until midnight- if its two hours later- its 10pm. which is two hours until midnight.

2 hrs. is half as long as 4 hrs. so why cant this work??

wrong because:

If it were two hours later (10pm), it would be half as long until midnight (2 hours to midnight) as it would be if it were an hour later (at 9pm = remember your starting point is 8 pm = 3 hours to midnight which is not 2x2 hours).

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• 1 month later...

9pm

let x = the current time.

2 hrs later = x + 2; 1 hrs later = x + 1

the statement means:

12 - (x + 1) = (1/2) {12 - (x+1)}

so 24 - 2x - 2 = 12 - x - 1

x = 24 - 2 - 12 + 1

= 9

[\b]

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• 2 weeks later...

YES!!! for the first time ever, i managed to solve a puzzle!!!

9pm!!! 2hrs later, it'll b 11pm, ie an hour frm mdnite, n 1 hr later, it'll 10pm, ie, 2hrs frm mdnite!!

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• 2 weeks later...

the equation formed is really simple...

120+x = 60+2x

=> x=60

and hence time = midnight - 180 minutes = 9 pm

haha!! i love maths!!

\m/

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• 3 weeks later...

you lost me when you started throwing in the math... I don't like math anymore... look what you did... you just ruined my life... I'm going to say that its 9 because it's 9 right now. and that's my answer. ha. I have my life back. look what you didn't do....

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• 1 year later...

9pm

let x = the current time.

2 hrs later = x + 2; 1 hrs later = x + 1

the statement means:

12 - (x + 1) = (1/2) {12 - (x+1)}

so 24 - 2x - 2 = 12 - x - 1

x = 24 - 2 - 12 + 1

= 9

[\b]

24 - 2 - 12 + 1 = 11 not 9

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