Question

Between 4 and 5 o'clock, when the angle between two hands is 24°
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Answer 1

Answer:

4 30 is the answer plese make me brilliant

Answer 2

Concept Introduction:-

According to mathematics, time is a continuous series of events which occur one after another, from the past to the present to the future.

Given Information:-

We have been given that $4$ and $5$ o'clock, when the angle between two hands is $24$°.

To Find:-

We have to find that when the angle between two hands is $24$°.

Solution:-

According to the problem

If the time is $4$ hours and $x$ minutes after $4$, when the two hands of the clock are same, then the angle formed by minutes hand is: $\frac{x}{60} \times 360=6 x$The hour hand moves $\frac{1}{2}$ degree each minute, then angle traced by hour hand is

$=120+\frac{x}{2}$

Hence, $120+\frac{x}{2}-6 x=24$

$\begin{aligned}&24=\frac{11 x}{2} \\&x=\frac{48}{11} \\&x=4 \frac{4}{11} \text { min. past } 4\end{aligned}$

Final Answer:-

The angle between two hands is $24$° is $4 \frac{4}{11} \text { min. past } 4$.