Watch keeps exact time, but it has only an hour in hand when the hour is 2÷5 is of the distance between the 4 and the 5, the correct time is?

3 answers

Let's call the distance between the 4 and the 5 on the watch face "x".

According to the problem, when the hour hand is at 2, it is 2/12 = 1/6 of a full rotation around the watch face.

We know that a full rotation around the watch face is 12 hours, or 360 degrees. So, 1/6 of a full rotation is 1/6 * 360 = 60 degrees.

Since the hour hand is pointing at a distance of 2/5 x from the 4 to the 5, we can set up the equation:

2/5 x = 60

Solving for x, we get:

x = 150

So, the distance between the 4 and the 5 on the watch face is 150 units.

Now, we can use this information to determine the correct time when the hour hand is at the 2 o'clock position.

Since there are 12 hour markings on the watch face and the distance between the 4 and the 5 is 150 units, each hour marking represents 150/12 = 12.5 units.

The hour hand is currently pointing at 2/5 x 150 = 60 units. So, it has moved 60/12.5 = 4.8 hour markings from the 12 o'clock position.

Therefore, the correct time is 4.8 hours after 12 o'clock, which is:

12:00 + 4 hours + 0.8 * 60 minutes/hour = 4:48.

So, the correct time is 4:48 when the hour hand is at the 2 o'clock position and the watch face has a distance of 2/5 of the distance between the 4 and the 5.
04:24
I'm sorry, I don't understand what you're asking for. Could you please provide more context or information so I can assist you better?