Question

The inhabitants of planet Rahu measure time in hours and minutes which are me
from the hours and minutes of Earth. Their day consists of 36 Rahuian hours with each
hour having 120 Rahuian minutes and therefore the dials of their clocks show 36 hours.
What is the angle (in Rahuian degrees) between the hour hand and the minute hand of a
Rahuian clock when it shows a time of 9:48? Rahuians measure angles in degrees, the
way we do on earth. But for them, the angle around a point is 720 Rahuian degrees
(instead of the 360° that we have on earth).​

Answer 1

Answer:

100°

Step-by-step explanation:

In rahuian degrees the minutes hand travels a full circle in 1 hour. i.e., 120 minutes

i.e., 720 degrees in 120 min or 6 degrees per min

and the hours hand travels 720/36= 20 degrees per hour

and 20/120 = 1/6 degrees/minute.

At 9:48 the hours:

Angle covered by hour hand = 9 x 20 + 48 x 1/6 = 188 deg

Angle covered by min hand = 48 x 6 = 288 deg

Angle between hour hand and minute hands = 288 - 188 = 100 degrees