Question

The angle between the minute hand and the hour hand of a clock when the time is 4.20, is:

A) 0 B) 10 C) 30 D) 60

Answer 1

Answer:

10

Step-by-step explanation:

Angle traced by hour hand in 13/3 hrs = 360/12 x 13/3 ° = 130°.Angle traced by min. hand in 20 min. = 360/60 x 20 ° = 120°.

Required angle = (130 - 120)° = 10°.

Answer 2

We must recall that:

At $4$ o'clock, minute hand is at $12$ while the hour hand is at $4.$ Again the minute hand has to sweep through $(30\times4)$ i.e., $120$° for reaching the figure 4 to show 20 mins.

We can write 4 hrs. 20 mins. as $\frac{13}{3}$ hrs.

Angle traced by hour hand in $\frac{13}{3}$ hrs $=30\times \frac{13}{3}$ $=130$°

∴ Angles between hands of clock $=130$° $-120$° $=10$°

Option D is correct.