Table of Contents
- 1 At what time between 5 and 6 will the hands of the clock be at right angle?
- 2 At what time between 5 o’clock and 6 o’clock the hands of a clock will be on angle of 180?
- 3 At what time between 5 and 6 o’clock the hands are in opposite direction?
- 4 At what time between 5 and 6 o’clock are the hands of a clock 3 min apart?
- 5 At what time between 5 and 6 both the hands will be at straight line but opposite to each other?
- 6 What time will the hands of a clock be at right angles?
- 7 What is the speed of the minute hand at 5 o clock?
- 8 How much space is gained by 5 o’clock in 60 minutes?
At what time between 5 and 6 will the hands of the clock be at right angle?
Explanation: At 5 o’clock, the hands are 25 min. spaces apart. To be at right angles and that too between 5.30 and 6, the minute hand has to gain (25 + 15) = 40 min.
At what time between 5 o’clock and 6 o’clock the hands of a clock will be on angle of 180?
Difference between hour hand and minute hand = 25 minutes. The minute hand and our hand are at 180 degree(opposite) at 30 minutes. Hence minute hand has to gain: 25 + 30 = 55 minutes. Hence Exactly at 6 o’clock Hour hand and Minute hand will be 180 degree apart.
At what time between 5 and 6 will the hands of the clocks are 22 minutes spaces apart?
Detailed Solution At 5 o’clock both the hands are 25 minutes apart so two cases are formed: Case 1: when the minute hand is 3 minutes behind the hour hand. In this case, minute hand will gain 25 – 3 = 22 minute spaces and 22 minute will be gained in = (60/55) × 22 = 24 min.
At what time between 5 and 6 o’clock the hands are in opposite direction?
Explanation: The hands of a clock point in opposite directions (in the same straight line) 11 times in every 12 hours. (Because between 5 and 7 they point in opposite directions at 6 o’clcok only).
At what time between 5 and 6 o’clock are the hands of a clock 3 min apart?
Correct Option: A Here, H = 5 and M = 3. ∴ The hands will be 3 minutes apart at 315/11 minutes past 5 and 24 minutes past 5 O’clock.
At what time between 5 and 6 the minute hand will be 3 minutes?
At what time between 5 and 6 both the hands will be at straight line but opposite to each other?
Explanation: The hands of a clock point in opposite directions (in the same straight line) 11 times in every 12 hours. (Because between 5 and 7 they point in opposite directions at 6 o’clcok only). So, in a day, the hands point in the opposite directions 22 times.
What time will the hands of a clock be at right angles?
At what time between 5:30 and 6 will the hands of a clock be at right angles? At 5 o’clock, the hands are 25 min. spaces apart. To be at right angles and that too between 5.30 and 6, the minute hand has to gain (25 + 15) = 40 min. spaces. An accurate clock shows 8 o’clock in the morning.
How far apart are the hands at 5 o’clock?
Explanation: At 5 o’clock, the hands are 25 min. spaces apart. To be at right angles and that too between 5.30 and 6, the minute hand has to gain (25 + 15) = 40 min. spaces. 55 min. spaces are gained in 60 min
What is the speed of the minute hand at 5 o clock?
Relative to hour hand , minute hands speed is 6- 0.5 = 5.5 degree / minute. ( hour hand stops and minute hand slows )) Initial angle between the two hands at 5 O clock is 5*30 = 150 degree. Hence minute hand has to move 60 degree, to make the angle between the two to be 90 degree.
How much space is gained by 5 o’clock in 60 minutes?
At 5 o’clock the minute hand will be 25 minute space behind the hour hand. For the two clock hands to be perpendicular they must be 15 minutes space apart. When Minute hand is 15 minute spaces behind the hour hand. In this case minute hand have to gain (25–15)=10 minute spaces. 55 minute spaces are gained by it in 60minutes.