Time taken for the hour hand of the clock to rotate through 187.5 degrees, if it starts at 12 pm is =
Answers
Given : clock starts at 12 pm
To find : Time taken for the hour hand of the clock to rotate through 187.5 degrees,
Solution:
Hour Clock complete circle in 12 hrs
complete circle means 360°
360° in 12 hrs
=> 1° in 12/360 = 1/30 hr
=> 187.5 ° in 187.5 * 1/30 hrs
= 187.5 /30 hrs
= 6.25 hrs
1 hr = 60 mins => 0.25 hrs = 0.25 * 60 = 15 mins
6 hrs 15 mins time is taken by hour hand of the clock to rotate through 187.5°
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Answer:
6 hours 15 minutes
Step-by-step explanation:
Given : Hour hand rotates 187.5 degrees.
To Find : Time taken by the clock to rotate through 187.5 degrees, if it starts at 12 pm.
Solution : The hour hand in a clock completes 360 degrees in 12 hours. Time taken by hour hand to turn 360 degrees = 12 hours. Time taken by hour hand to turn 1 degree = 12/360 hours.
Therefore, time taken by the hour hand to turn to an angle of 187.5 degrees = 12*(187.5/360) = 6.25 hours.
Time taken by the hour hand to turn 187.5 degrees = 6.25 hours, which is the same as 6.25 hours or 6 hours 15 minutes.