Question

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?

Answer 1

Answer:

9pm

Step-by-step explanation:

Given above.

Thank You Have a great day

Answer 2

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 $x$.

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.

∴$12-(x+2) = \frac{1}{2}[12- (x+1)]$

where $(x+2)$ represents the time two hours later than the current time.

           $(x+1)$ represents the time one hour later than current time.

⇒$12-x-2 = \frac{1}{2} (12-x-1)$

⇒$10-x = \frac{1}{2} (11-x)$

⇒$20-2x = 11-x$

⇒$2x-x = 20-11$

⇒$x = 9$

Henceforth, the time at present is 9 pm.