Question

Walking Ant - 5 Marks
Walking Ant Clock
An ant started walking inside a wall clock along the circumference at 12 midnight in clockwise direction. The
ant started circling the clock at 4 times the speed of the minute hand. Sometime after 2:30 AM the ant hopped
on to the Minute hand when it was able to reach it.
What would have been angle between Hour hand and Minute hand when the ant hopped on to the Minute
hand? (least angle)
1
11 12
2
10
.
8

Answer 1

Answer:

direction. The

ant started circling the clock at 4 times the speed of the minute hand. Sometime after 2:30 AM the ant hopped

on to the Minute hand when it was able to reach it.

Answer 2

Given:

An ant started walking inside a, wall clock along the circumference at 12 midnight in clockwise direction. The ant started circling the clock at 4 times the speed of the minute hand. Sometime after 2:30 AM the ant hopped on to the Minute hand when it was able to reach it.

Solution:

• A clock is usually a circle and hence, is 360°. The degree between every digit from 1 to 12 on the clock is 30°. When the time is 2:30, the hour hand is on 2 and the minute hand is on 6. Thus, the angle between 2 and 6 can be calculated as follows.

• So now, it is calculated that the angle between 2 and 6 is 120°.

• Therefore, the angle between Hour hand and Minute hand when the ant hopped on to the Minute hand would have been 120°.