Ram’s teacher asked him to set the two hands of the clock (the hour hand and the minute hand) between 10:00 a.m. and 11:00 a.m. such that they are 8 minutes apart. What time will the clock indicate for such settings?
Answers
Step-by-step explanation:
In one hour, MINUTE hand travels 60 minutes
HOUR hand travels just 5 minute spaces
Thus,
MINUTE hand gains (60 - 5) = 55 minutes over HOUR hand in 60 minutes
At 10 o'clock hour hand & minute hand difference = 50 minutes.
So to be 8 min apart, minute hand must be at (50 - 8 =) 42 minutes or (50 + 8 =) 58 minute s position
For 42 minutes, minute hand must travel 42 minutes more
In 60 minutes, minute hand gains 55 min.
In ? minutes it gains 42 minutes
∴ ? = 42 x 60 = 43 9 minutes past 10 o' clock
55 11
For 58 minutes, minute hand must travel 58 minutes more
In 60 minutes, minute hand gains 55 min.
In ? minutes it gains 58 minutes
∴ ? = 58 x 60 = 63 3 minutes past 10 o' clock = 1 hour + 3 3 minutes
55 11 11
That means 3 3 minutes past 11 o' clock
11