How much angle does a minute hand of a clock cover in the same time in which the hour hand of the clock covers an angle of 25° ? (A) 300° (B) 50° (C) 240° (D) 150°
Answers
Answer:
60 minute spaces trace an angle of 360°. C. In 1 hour, Minute hand traverses 60 minute space or 360° degree, Hour hand traverses 5 minute space or 30° degree. In 1 minute, Minute hand traverses 6° (dpm – Degree per Minute), Hour hand traverses 0.5° (dpm – Degree per Minute).
Step-by-step explanation:
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Given : hour hand of the clock covers an angle of 25°
To Find : How much angle does a minute hand of a clock cover in the same time
Solution:
Hour hand completes 360° in 12 hrs
=> Hour hand completes 360° in 12 * 60 mins
=> Hour hand completes 1° in 12 * 60/360 mins
=> Hour hand completes 1° in 2 mins
=> Hour hand completes 25° in 50 mins
Minute hand completes 360° in 1 hr
=> Minute hand completes 360° in 60 minutes
=> Minute hand completes 6° in 1 minutes
Hence in 50 mins , Minute hand completes 6 * 50 = 300°
Correct option is A) 300°
Another method :
Hour hand completes 1 hr then minute Hand completes = 12 hrs in clock
Hence minutes hand revolves 12 times Hour hand
so 25 * 12 = 300°
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