+0  
 
0
35
1
avatar

There are two times between 5 AM and 6 AM when the hands of an accurate clock are perpendicular.  Exactly how many minutes elapse between these two times?

 Dec 5, 2019
 #1
avatar
0

My understanding is that by "perpendicular" you mean when they are 90 degrees apart. If so, then:

 

90=abs((30*5) - (5.5*M)), solve for M

M =10.909090....minutes after 5 AM when the 2 hands are 90 degrees apart.

 

270=abs((30*5) - (5.5*M)), solve for M

M =43.636363.....minutes after 5 AM when the 2 hands are 90 degrees apart, the 2nd time.

 

So, the time elapsed between the two periods equals:

43.636363.... - 10.909090..... =32.727272......minutes elapsed between the 2 periods.

 Dec 5, 2019

17 Online Users

avatar