Question

Between 12 noon and 1 pm, there are two instants when the hour hand and the minute hand of a clock are at right angles. The difference in minutes between these two instants is

Answer 1

<<<<<<<< Queation >>>>>>>>>

↪️ Between 12 noon and 1 pm, there are two instants when the hour hand and the minute hand of a clock are at right angles. The difference in minutes between these two instants is........???

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<<<<<<< Answer >>>>>>>>

firstly ..

We have to concider  clock as a circle !!

The hour hand starts at 0° and will goes $\frac{1}{2}$ degree in every single minute of clock.

[ given in question ] ......(1)

The minute hand starts at 0° & will goes forward at 6° per minute.

[ Given in question ]........(2)

So.

We want to solve this question for the value of K

$6k=\frac{1}{2}k+90$........[ In 1st case ]

And

$6k=\frac{1}{2} k+270$......[ In 2nd case ]

so we get...

⇒ $k=\frac{180}{111}$

   = $16.36$

And,

⇒ $k=\frac{540}{11}$

   

  = $49.09$

⇒ The difference in minutes between these two instants is

$32.72$ Minutes

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have a good day :)

Answer 2

32.727272

Step-by-step explanation:

We're looking for how long time it takes for the minute hand to make one half of a relative to the hour hand. This will be

12×12h11=720m22=32.727272…minutes. please like and vote please