Clock time puzzle
1,395.8K Views
Answered
Best answer
ANSWER- 6h27m41.5s
EXPLANATION-
You need to solve (n+(180−θ)/360)×30=θ, where n is the number of hours past 6 o’clock. The solution is
θ=18013(2n+1)deg
For different values of θ you would get different times.
For example, for n=6 you get θ=180 which is 12 o’clock.
For n=0 you get θ=180/13=13.8, which, using 30 degree=5 min, is 6h27m41.5s
Since the clock is symmetric than we can calculate the time as if the distance should be the same from 12 o’clock.
The general approach to solving problems like this is to take into consideration the rate of change of the angle per minute.
The hour hand makes a complete rotation of 360 degrees in 12 hours. In other words, 360 degrees in 720 minutes,
which means 0.5 degrees per minute.
The minute hand rotates 360 degrees per hour, meaning 6 degrees per minute.
And so the angle formula for the hour hand will be:
0.5* the hour according to the hour hand * 60 (minutes in an hour) + 0.5* the number of minutes according to the minute hand.
The formula for the minute hand is: 6 * the number of minutes according to the minute hand.
So in our question if we mark the hour hand with H and the minutes hand with M we can write the question as:
0.5*H*60 + 0.5*M = 360 -6M >> 6.5M = 360 -30H
So the solutions are:
1) 1:50:46
2) 2:46:09
3) 3:41:32
4) 4:36:55
5) 5:32:18
6) 6:27:41
7) 7:23:04
8) 8:18:27
9) 9:13:50
10) 10:09:13
11) 11:04:36
12) 12:00:00
Your Answer
More puzzles to try-
How does he know which one is his brother?
After looking for his long lost brother that he has never met before, Justin is able to learn his brother’s ...Read More »Boating in the River
You are on a Boat in the mid of a river. You have two cigarettes with you. One of these ...Read More »Camel travel riddle
Six Tasmanian camels traveling on a very narrow ledge, encounter six Tasmanian camels coming the other way. As everyone knows, ...Read More »Letters Magic
Look at the below sequence of letters and tell us what the next letter should be: O T T F ...Read More »Hard Science Rebus
what does below science rebus mean? Ag Ag Ag Ag SPOON Ag Ag Ag AgRead More »Points on a circle
Given N points randomly distributed around the circumference of a circle, what is the probability that all N points lie ...Read More »Can\’t walk with four legs
He has four legs and one back, yet he can not walk, Who is he ?Read More »Adam Eve Riddle
There is something that Adam and Eve do not have but the rest has?Read More »You bought me for dinner
You bought me for dinner but never eat me. What am I?Read More »Twenty Story Building on Fire
One day, a twenty story building was on fire. A man jumped out a window and nothing happened to him. ...Read More »The genders of the neighboring family’s children
The house next door has some new neighbors. They have two children, but you don’t know what mix of boys ...Read More »One have five riddle
This is what you use to write But it is not a pen One of these has five fingers And ...Read More »Next is Best
Find the next number in the series. 1 10 24 43 67 ?Read More »What did he put in the barrel?
A man has a barrel with filled with oil that weighs 100 pounds, and then he puts something into it. ...Read More »What’s the mother’s name?
A dog had three Puppies: January,March and May. What was the mother’s name. What’s the mother’s name? Think think What’s the ...Read More »What tastes better?
What tastes better than it smells?Read More »Man in New York City with 10 Dollars puzzle
A man in New York City has $10. He spends $6.50 on flowers, and $3 on lunch (hot coffee and ...Read More »FIND THE MISSING AMOUNT
Three men in a cafe order a meal the total cost of which is $15. They each contribute $5. The ...Read More »What did he put in the barrel?
A man has a barrel filled with oil that weighs 100 pounds, and then he puts something into it. Now ...Read More »Clever Logic Riddle
A dying old man wants to divide his entire land between his only two sons. Since his only wish is ...Read More »
Accenture Interview PuzzlesAdobe Interview PuzzlesAge RiddleAkbar Birbal PuzzlesAlgorithm PuzzlesAlphabet riddleAmazon Interview PuzzlesAnalytical MathematicsAptitude PuzzleBank PuzzlesBetting PuzzlesBrain TeasersCalendar PuzzlesCards PuzzlesChess Board PuzzleChess PuzzlesChristmas Puzzlecipher PuzzleCivil Services PuzzleClock time puzzleCognizant Interview PuzzlesCoins PuzzleComputational PuzzleconundrumCoronavirus PuzzleCoupondunia Interview PuzzleCritical Thinking Puzzledata analyticsData Structure Interview QuestionsDecode PuzzleDetective PuzzlesDice PuzzleDictionary Riddlesdifficult riddleEasy Math puzzlesEasy puzzlesEinstein puzzleEnglish RiddleFamily Tree Puzzlefamous puzzleFill in the blanks riddlesFinding Killer RiddlesFlipkart interview puzzlesFunny RiddlesGeneral KnowledgeGeographical PuzzleGoogle Code Jam 2014Google Interview PuzzlesGRE PuzzleHard Puzzle
dougbell
There are 12 answers to this puzzle. For every hour, there is a position of the minute hand such that the hour and minute hands are equal distance from the 6.
SherlockHolmes
There are more than 12 answers to the puzzles, please specify the same in answer. 🙂
Think about it, even more than 20 answers are possible 🙂