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Answer to Q101

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?

Let x be our current time and a whole day is 24 hours.

If it were two hours later (x + 2), it would be half (½) as long until midnight (24) as it would be if it were an hour later (x + 1).

So,
24 - (x + 2) = ½(24 - (x + 1))
24 - x - 2 = ½ (24 - x - 1)
48 - 2x - 4 = 24 - x - 1
48 - 24 - 4 + 1 = -x + 2x
21 = x

So, 21:00hrs is same as 21 - 12 = 9pm

Answer: 9pm

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827 viewsJun 26, 2020 at 15:56

Answer to Q101

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?

Let x be our current time and a whole day is 24 hours.

If it were two hours later (x + 2), it would be half (½) as long until midnight (24) as it would be if it were an hour later (x + 1).

So,
24 - (x + 2) = ½(24 - (x + 1))
24 - x - 2 = ½ (24 - x - 1)
48 - 2x - 4 = 24 - x - 1
48 - 24 - 4 + 1 = -x + 2x
21 = x

So, 21:00hrs is same as 21 - 12 = 9pm

Answer: 9pm

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