Question 54

A clock shows the time as 3:00 p.m. What would be the time on the clock when the hour hand moves $$135^{o}$$?

Solution

A clock is a full circle: 360 degrees

The hour hand completes one full circle in 12 hours.

So, the hour hand moves: 360/12 = 30 degrees per hour.

Number of hours the hour hand moves to cover 135 degrees : 135/30 = 4.5 hours.

Add 4.5 hours to 3:00 p.m. = 7:30 p.m.

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