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?
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?
To solve this question, let's break it down into steps:
Step 1: Find the distance between the 4 and the 5 on the clock. Since there are 12 numbers on the clock face, the distance between each number is 360° divided by 12, which is 30°.
Step 2: Calculate 2/5 of the distance between the 4 and the 5 by multiplying the distance (30°) by 2/5:
30° * 2/5 = 12°
Step 3: Now, we need to find out where the hour hand will be after moving 12° from the starting position of the 4. To determine this, we divide 12° by the total distance between each number, which is 30°:
12° / 30° = 0.4
Step 4: Convert 0.4 to hours. Since there are 12 numbers on the clock face, each number represents one hour. Multiply 0.4 by 12:
0.4 * 12 = 4.8
Step 5: The result, 4.8, represents how many hours the hour hand will move from the starting position. We need to determine the time on the clock when the hour hand is at 4.8 hours.
Step 6: To convert 4.8 hours into a typical time format, we need to consider both the hour and the minutes. Since the hour hand only moves every 60 minutes, we need to convert the decimal part to minutes.
Step 7: Multiply the decimal part (0.8) by 60 to convert it into minutes:
0.8 * 60 = 48
Step 8: The time on the clock is 4 hours and 48 minutes.
Therefore, the correct time is 4:48.