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What is the time after 1:00 o’clock will the hands of the clock forms a straight line for the first time?

 Jun 4, 2020
 #1
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Hour hand starts at 30 degrees and moves 1/2 degree per minute

minute hand moves 6 degrees per minute

 

30 + 1/2x   =   6x    where x is the minutes after 1:00

 

30 = 5.5x

x = 5.4545 minutes       or      1:05:27     This is when they overlap (forming a straight line)

 

 

If you want when they form an end-to-end straight line:

30 + 1/2x  + 180 = 6x

210 = 5.5x

x = 38.18           ~~   1:38:11

 Jun 4, 2020
 #2
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6:00 is the time

 Jun 4, 2020

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