On the Planet Oz, there are 8 days in a week, Sunday to Saturday and another day called Oz day. There are 36 hours in a day and each hours has 90 min while each minute has 60 sec. As on earth, hour hand covers the dial twice every day. Find the approximate angle between the hands of clock on Oz when time is 15.40 am.

• 36hrs a day that means the clock will be of 18hrs.
  angle between each hour=360/18=20
  thus for 15 am.. angle=15*20=300
  now each hour is of 90 min.=20deg
  so,1min=2/9deg deflection of the hour hand.
  so for 40min the small hand(hour) will be displaced by 40*2/9=8.89deg=9deg(approx)
  so total angle of the small hand=9+300=309deg
  now for the minute hand 90min=360deg
  thus 1min=4deg
  so 40min=40*4=160 deg
  so angle when time is 15.40 is 309-160=149deg :)
  
• 14 years agoHelpfull: Yes(41) No(3)
• in every one hour it makes 20 degree of angle.
  so when it is 15 o'clock then angle will be 15*20 = 300 degree
  and for 40 min hand should be on 8 ,so the angle formed will be 8*20 = 160 degree
  now when it will be 15.40 am then hand will be ahead of 15,so this angle is measured as:
  in 90 min it makes 20 degree,so in 40 min it makes (20*40)/90 degree,which is almost equal to 9 degree.
  so total angle made by hands is = (300-160) + 9 = 149 degree.
• 14 years agoHelpfull: Yes(11) No(1)
• animesh paul solution is right. I did not consider the angle taken by hrs hand accurately
• 14 years agoHelpfull: Yes(6) No(2)
• 149hrs
• 14 years agoHelpfull: Yes(4) No(3)
• Number of days is irrelevant. 36 hours a day and hour hand covers dial twice every day means clock will have 36/2=18 numbers on it from 1 to 18( Just like 1 to 12 on earths clock). Total 90 min/hour means 5 min for every number. So 18*5=90min is satisfied just like on earth. Now any dial in the universe will be 360 degrees. So hours hand will cover 360/18=20 deg every 1 hour. Also this means min hand will cover 20 deg every 5 min. 15hrs means hours hand rotated 15*20=300 deg. 40 min means min hand rotated (360/90)*40=160 deg. difference is 300-160 =140 deg.
• 14 years agoHelpfull: Yes(3) No(14)
• Planet : Earth OZ
  Day : 24hrs 36hrs
  Hours : 60 min 90 min
  min : 60 sec 60 sec (useless)
  Therefore,
  clock : 12 hrs 18 hrs (per cycle)
  15:40 hrs = (15*60+40) = 940 mins
  In Oz, 940min = (940/90)hrs + (940%90)mins = 10:40
  
  Deflection of Clock:
  Earth clock is at 3.
  (3 + 40/60) * (360/12) = 110 degree
  Planet Oz.
  (10 + 40/90) * (360/18) = 208.89 degree
  
  Approximate Angle = (208.89 - 110) = 99 degree
• 14 years agoHelpfull: Yes(3) No(17)
• 149
• 14 years agoHelpfull: Yes(3) No(1)
• ans :59
• 14 years agoHelpfull: Yes(1) No(26)