At present, an accurate clock shows 3:40 PM. By how many degrees will the hour hand rotate when the clock shows the mirror image of the present time (assuming the mirror is kept along the vertical plane)?
140°
Mirror time (vertical mirror) = 11:60 – actual time
= 11:60 – 3:40
= 8:20
So the clock moves forward from 3:40 PM to 8:20 PM.
Time elapsed = 4 hours 40 minutes = 280 minutes
The hour hand turns 0.5° per minute.
Rotation = 280 × 0.5
= 140°
Check: In 4 hours the hour hand turns 4 × 30° = 120°, and in 40 more minutes it turns 20°, giving 120° + 20° = 140°.
Hence, 140°.
Similar Questions
If 19 December 1965 was a Sunday, then what day of the week was 20 August 1981?
A malfunctioning analogue clock gains 5 minutes per hour of operation. Given that it was initially accurately set to 8:00 AM and subsequently shows 6:00 AM the following day, determine the additional angle traversed by the hour hand of the clock.
If 14 November 1989 was a Tuesday, then what was the day of the week on 26 April 2013?
At present, an accurate clock shows 16:20 hrs. By how many degrees will the hour hand rotate when the clock shows the mirror image of the present time? (Assume the mirror is kept along the vertical plane.)
If 22 June 1994 was a Wednesday, then what was the day of the week on 17 February 2018?
Important Questions from Clock and Calendar
Which day is 10 th October, 2027 ?
At which one of the following times, do the hour hand and the minute hand of the clock make an angle of 180° with each other?
Which date of June 2099 among the following is Sunday if 5 June 2022 is Sunday?
How many seconds in total are there in xweeks, xdays, xhours, xminutes and x seconds?
A man started from home at 14:30 hours and drove to village, arriving there when the village clock indicated 15:15 hours. After staying for 25 minutes, he drove back by a different route of length 1·25 times the first route at a rate twice as fast reaching home at 16:00 hours. As compared to the clock at home, the village clock is
