Find the time between 3 and 4 clock when the angle between the hands of a watch is one third of a right angle.

2 thoughts on “Find the time between 3 and 4 clock when the angle between the hands of a watch is one third of a right angle.”

1. Answer:

   sorry don’t know the answer

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2. Answer:

   Step-by-step explanation:

   The time between 3 and 4 o’clock when the angle between the hands of a watch is one-third of a right angle is 3 o clock and 2.7272 minutes

   Solution:

   Speed of hour hand as it moves

   That is in 60 minutes hour hand moves

   So in 1 minute hour hand moves = degrees

   So in x minutes hour will move

   At 3 o clock, hour hand is 45 degree ahead of minute hand.

   So after 3 o clock and x minutes, position of hour hand = + 45 degree

   In 60 minutes, minute hand moves

   In 1 minutes, minute hand moves

   So in x minutes , minutes hand moves

   We want that value of x when:

   one third of right angle is

   x + 90 -12x = 60

   -11x = 60 – 90 = -30

   So at 3 o clock and 2.7272 minutes, angle between the hands of a watch is one-third of a right angle.

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