# What is a clock problem?

## What is a clock problem?

Clock angle problems relate two different measurements: angles and time. The angle is typically measured in degrees from the mark of number 12 clockwise. The time is usually based on a 12-hour clock. A method to solve such problems is to consider the rate of change of the angle in degrees per minute.

A clock is a complete circle having 360 degrees where 1 hour is equivalent t60 minutes, 1 minute is equivalent to 60 seconds, and 1 hour is equivalent to 3600 seconds. There are a total of 3 hands in a clock and these are hour, minute, and second hand respectively.

### How many times the hands of a clock will be at 50 with each other in a day?

So, in a day, the hands point in the opposite directions 22 times.

How is maths used in clock?

The mathematical way to say “in clock math” is just “working modulo 12”. This is our way of saying to consider 12 and 0 to be the same number. This method, doing the operation as usual and then subtracting or adding 12 until we have a number from 0 to 11, also works with multiplication.

## How do you make a clock in math?

Every time we go past 12 on the clock we start counting the hours at 1 again. If we add numbers the way we add hours on the clock, we say that we are doing clock arithmetic. So, in clock arithmetic 8 + 6 = 2, because 6 hours after 8 o’clock is 2 o’clock.

What is the formula to find angle of a clock?

First note that a clock is a circle made of 360 degrees, and that each number represents an angle and the separation between them is 360/12 = 30. And at 2:00, the minute hand is on the 12 and the hour hand is on the 2. The correct answer is 2 * 30 = 60 degrees.

### How do you solve clock problems How many times do the hands of a clock coincide in a day explain both?

Also, the hour and minute hand coincide only once between 11 and 1 o’clock i.e. at 12 o’clock. So, from both the above statements we can say that the two hands coincide exactly 11 times in a 12 hour span. times. So, the number of times the two hands coincide in a day is 22 times.

How many times between 2 pm and 8 pm will both the hands of clock hour hand and straight line and opposite in direction?

Answers ( ) The hands of a clock point in opposite directions (in the same straight line) 11 times in every 12 hours.

## How many times from 4 pm to 10 pm the hands of a clock are at right angles?

Solution. Explanation: Every hour the hands of a clock are at right angles twice i.e. in 6 hours (4 to 10) they would be right angles to each other 12 times.

Why is the clock sum of 13?

The sum of all the numbers is 78. If we call x the total on the small side, then 5x+x=78, so 6x=78 and x=13. So the sum on the small side is 13.

### What is clock algebra?

How many times between 4am and 4pm will the hands of a clock cross?

The hands overlap about every 65 minutes, not every 60 minutes. The hands coincide 22 times in a day.

## What is the time between 7 and 8?

Therefore, between 7 and 8 O’clock, the time in which both the hands are 180° apart is 5 min past 7. Hence, the correct answer is “5 min past 7”.

How many times between 1 00 pm and 7 00 pm Will minute hand and hour hand make angle of 180?

Detailed Solution The hour hand and the minute hand of the clock make an angle of 180° with each other 11 times during 12 hours.

### How many times from 4 pm to 10 pm the hands are at right angles?

How many times from 4 pm to 10 pm, the hands of a clock are at right angles? Explanation: As in 12 hours the hands are 22 times at right angle.

How many times is between 2pm and 8pm?

## When does the minute hand of a clock overtakes the hour hand?

Example 4: The minute hand of a clock overtakes the hour hand at intervals of 63 minutes of correct time. How much does the clock lose or gain in a day?

What does it mean when a clock says the wrong time?

The wrong time indicates that a clock is either slow or fast compared to the correct time. The wrong clock can either be fast or delayed by a few seconds/minutes/ hours or sometimes by a few days and weeks. Q.4 A clock gains 5 seconds for every 3 minutes.

### What is the correct time when a clock loses 15 minutes?

When a clock loses 15 min, then 23 hours 45 min of this clock are the same as 24 hours of correct clock i.e. 95/4 hours of this clock = 24 hours of correct clock. 95/4 hours of this clock = ( (24×4/95)×114) hours of correct clock = 115.2 hours of correct clock which is equal to 115 hours 12 minThe correct time is 5:12 am.

What happens between 5 and 6 o’clock on a clock?

The hands of the clock make one 180 ° straight line every hour except between 5’o clock and 6’o clock. A precise observation and analysis of the watch gives the idea that between 5 and 6 the hands make straight line 180 ° exactly at 6 o’clock and hence, it cannot be the one which happens between 5 o’clock and 6 o’clock.