Question

22. What is the angle between the hands of the clock, when it shows 40 minutes past 6?
(A) 40°
(B) 70°
(C) 80°
(D) 90°​

Answer 1

Answer:

answer is 40 option A its easy

Answer 2

Answer:

The angle between the hands of the clock, when it shows 40 minutes past 6 is 40°

Step-by-step explanation:

Given problem is about the angle between the hands of the clock when it shows 40 minutes past 6

⇒ 40 minutes past 6 can be written as 6.40 minutes  

⇒ 6 hrs 40 minutes = (6 + 40/60) =  (6+2/3) = 20/3 hrs

⇒ we know that the angle traced by hour hand in 12 hrs = 360°

⇒ the angle traced by hour hand in 1 hr = 360/ 12 = 30°  

⇒ the angle traced by hour hand in 20/3 hrs = $\frac{20}{3}$ × 30 = 200°  

⇒ we know that the angle traced by minute hand in 60 minutes = 360°

⇒ the angle traced by minute hand in 1 minute = 360/60 = 6°  

⇒ the angle traced by minute hand in 40 minutes = 6°×40° = 240°  

⇒ the angle between the hands of the clock = 240° - 200° = 40°

⇒ The angle between the hands of the clock, when it shows 40 minutes past 6 is 40°

⇒ in given options (A) is correct