Question

Between 6 pm and 7 pm the minute hand of a clock will be ahead of the hour hand by 3 minutes at



(a) 6 : 15 pm



(b) 6 : 18 pm



(c) 6 : 36 pm



(d) 6 : 48 pm

Answer 1

If minute hand is 3 minutes ahead of hour hand, it means angle between the two hands is 18°.

Let the required time be 6:x pm

The minute hand will travel 6x° while hour hand will travel (6*60 + x)*1/2 = (180 + x/2)°

According to available information :

6x - 180 - x/2 = 18

=> 12x - 360 - x = 36

=> 11x = 396

=> x = 396/11 = 36

=> Required time is 6:36 pm

Answer 2

Answer:

3 min of HH=18 degree

Formula

Theta=11/2M-30 H

where H and M are hours and minutes respectively

18=11/2×M- 30×6

196=11/2×M

M=196×2/11

M=396/11

required time=6.36 P.M.

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