Math, asked by kunalpatil52320, 1 year ago

Find the exact time when the angle between hour-hand and the minute-hand of a clock will be : (i) 440 for the first time after 12 O’clock. (ii) 590 for the first time after 6 O’clock​

Answers

Answered by amitnrw
75

Answer:

12 : 08

6 : 22

Step-by-step explanation:

Angle 44°  after 12 O' Clock for 1st time between  hour-hand and the minute-hand

A minute Hand moves 360° in 1 hr

=> 6° Every 1 min

& Hour Hand move  30° in 1 hr

=> 0.5° Every 1 Min

Angle between Hr hand & Minute hand in 1 minute

= 6 - 0.5

= 5.5°

so 44° angle will be in 44/5.5  = 8 Mins

Time Would be 12 : 08

Angle 59°  after 6 O' Clock for 1st time between  hour-hand and the minute-hand

Initially angle = 180°  to get angle 59°

=> 180° - 59° = 121° movement required between hr hand & minute hand

Let say T minutes are Taken

= 121/5.5

= 22

Time Would be 6 : 22

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