Question 182

At what time are the hands of clocks together between 6 and 7?

Solution

The hand of the clock together means they have an angle of 0° between them.

Angle between the hour and minute hand = $$|\frac{11}{2}M - 30H|$$

Be/tween 6 and 7, angle between both hands :

=> $$|\frac{11}{2}M - 30*6| = 0$$

=> $$M = \frac{360}{11}$$

=> $$M = 32\frac{8}{11}$$

$$\therefore$$ At $$32\frac{8}{11}$$ minutes past 6, both the hands of the clock are together.

Share on Whatsapp Share on Whatsapp

Create a FREE account and get: