the minute hand of the clock is at 2 and the hour hand of the clock is between 8 and 9. what could be the time shown by the clock?
Answers
Answer:
From the question we know that the time is between 2 and 3 o'clock.
At 2 o'clock, the minute hand is 60 degrees behind the hour hand (the minute hand is at 12, the hour hand is at 2).
That means, that at the time when the minute hand is 90 degrees past the hour hand, it has traveled 90+60 = 150 degrees more than the hour hand in that time.
Let's say it takes x minutes to get to that point, starting at 2 o'clock.
(Angular) distance traveled by minute hand in x minutes - distance traveled by hour hand in x minutes = 150
x*speed of minute hand in deg/min - x*speed of hour hand in deg/min = 150
x*(6 deg/min) - x*(0.5 deg/min) = 150
(The minute hand travels 360 degrees in 60 minutes so 6 deg/min)
(The hour hand travels 30 degrees in 60 minutes so 0.5 deg/min)
x*(5.5) = 150
x = 27.27272727.... (minutes)
Since we started counting since 2 o'clock, we have approximately 2:27
Step-by-step explanation:
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Answer:
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