Question

Find the time from 5 to 6 O'clock when the two hands of a clock are in opposite direction.​

Answer 1

Answer:

Exactly at 6 pm. No time between 5 and 6

Step-by-step explanation:

Please refer attachment for explanation

Answer 2

Answer:

6 O clock

Step-by-step explanation:

At 5  O'clock

Hour hand is exactly at 5  Means at   (5/12) * 360 = 150°

and Minute Hand is at 12 Means at 0°

From 5 to 6 O clock Hr hand will move from 150° to 180°

So Minute hand should be 180° + (150° to 180°)  to be exactly in oppoiste direction

Let say it happens after x minutes of 5 O clock

in x minutes hr hand moved  = ((x/60)/12) * 360°  = x/2 °

in x minutes minute hand moved = (x/60)*360 = 6x°

Hr hand position = 150° + x/2°

Minute Hand position = 6x°

Now  6x° = 150° + x/2° + 180°

=> 12x° = 300° + x° + 360°

=> 11x° = 660°

=> x = 60

After 60 minutes of 5 O clock two hands will be in opposite direction

=> at 6 O clock

=> x = 60°