Answer :
Answer:
9pm
Step-by-step explanation:
Given above.
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Given,
The time difference between midnight and two hours later than the current time is half that of the time difference between midnight and one hour later than the current time.
To Find,
The current time.
Solution,
Let the current time be [tex]x[/tex].
As per the question, the difference between 12 and two hours later than the current time is equal to half the time difference between 12 and an hour later than the current time.
∴[tex]12-(x+2) = \frac{1}{2}[12- (x+1)][/tex]
where [tex](x+2)[/tex] represents the time two hours later than the current time.
[tex](x+1)[/tex] represents the time one hour later than current time.
⇒[tex]12-x-2 = \frac{1}{2} (12-x-1)[/tex]
⇒[tex]10-x = \frac{1}{2} (11-x)[/tex]
⇒[tex]20-2x = 11-x[/tex]
⇒[tex]2x-x = 20-11[/tex]
⇒[tex]x = 9[/tex]
Henceforth, the time at present is 9 pm.