High School

Albert Einstein is experimenting with two unusual clocks, both of which have 24-hour displays. One clock runs at twice the normal speed, while the other clock runs backward at the normal speed. Both clocks show the correct time at 13:00. What is the correct time when the displays on the clocks next agree?

Answer :

The correct time when the displays on the clocks next agree is 01:00.

Let's assume that one hour on the normal clock is equal to x.

The clock that goes twice as fast takes x/2 hours to show one hour on the normal clock.

And the clock that goes backward takes 24 - x hours to show one hour on the normal clock.

At 13:00, both clocks show the correct time.

So, x/2 + x = 24 - x + x.

Simplifying the equation:

24 = x + x/2

Multiplying both sides by 2:

48 = 2x + x

Subtracting x from both sides:

48 - x = 2x

Solving for x:

x = 24

So, one hour on the normal clock is equal to 24 hours.

The clock that goes twice as fast will show one hour in 24/2 = 12 hours.

And the clock that goes backward will show one hour in 24 - 24 = 0 hours.

So, when the displays on the clock next agree, it will be 12 + 0 = 12 hours after 13:00, which is 01:00.

So the correct time when the displays on the clocks next agree is 01:00.

Read more about time-related problems:

brainly.com/question/13672305

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