Question

The hour hand of a clock moves from $ 11 $ to $ 4 $ , how many degrees does it move?

Answer 1

Hint: In the given question, we are required to find the angle covered by the hour clock when it moves from $ 11 $ to $ 4 $ in degrees. So, we will start by explaining all the terms and the statements in the question thoroughly. We will describe all the terms related to the clock that can cover the greatest of $ 360 $ degrees in a revolution. Then, we will finally calculate the degrees that the hour hand will cover with the help of ratio and proportion concepts.

Complete step by step solution:
First we will start off by explaining the given terms related to a clock thoroughly.
Since a clock is circular in shape, and we know that the clock hands can move a maximum of $ 360 $ degrees in one complete revolution. We know that there are $ 12 $ markings on a clock in total. The hour hand moves $ 5 $ markings in total from $ 11 $ to $ 4 $ .
We know that $ 12 $ divisions correspond to $ 360 $ degrees. So, we have to calculate the angle covered by the hour hand in covering $ 5 $ divisions in total from $ 11 $ to $ 4 $ .
Now, with this given information, we can find the required answer using the unitary method.
 $ 12 $ divisions correspond to $ 360 $ degrees
So, one division corresponds to $ \dfrac{{360}}{{12}} = 30 $ degrees.
So, $ 5 $ divisions correspond to $ 30 \times 5 = 150 $ degrees.
Therefore, the hour hand moves $ 150 $ degrees to go from $ 11 $ to $ 4 $ .
So, the correct answer is “ $ 150 $ degrees”.

Note: While forming any equation, read the statements twice to avoid any mistakes. Make different and separate equations for different statements. Do not use the same variable again and again. Take care while carrying out the calculations.