Question

A clock contain hour’s hand of length 14 cm. Calculate the distance covered by the tip of the hand in

the time of 9 hours​

Answer 1

Answer

when the time is 7 3/11 minutes past 3, the angle between the two hands of the clock will be 50 degree

EXPLATION

i.e., the hands should be 15 minutes apart.

At 8'o clock, hands of the clock are 20 minutes apart.

=> the minute hand needs to gain 25 minutes so that the hands will be 15 minutes apart  (45 minutes , effectively 15 minutes on the other side)

In 60 minutes, the minute hand gains 55 minutes on the hour on the hour hand.

Hence to gain 25 minutes for the minute hand, time needed

= (60/55)*25 = 300/11 minutes = 27 3/11 minutes

i.e, when the time is 20 8/11 minutes past 8, the hand of the clock will show right angle

at 3, hour hand is ahead by 90 degree

In another words, minute hand should gain 40 degree so that angle between two hands will be 50 degree

in 60 minutes, minute hand gains 55 minutes or 330 degree

For the minute hand to gain 40 degree, time needed 60/330 * 40 =  7 3/11  minutes