# If the angle between the hand of clock be 54 degree and the time it reads between 7 and 8. Find the time?

Formula for angles between two hands of a clock

there are 2 possibilities

ø = angle, h = number of hours completed. and m = number of minutes.

ø = 30h – 11/2 m ----------when minute hand is in first 1/2 (between 12 to 6)

54 = 30 × 7 – 11/2 m

11/2 m = 156

m = 28.36 min = 28 4/11 min = 21.8 s.

at 7 hr 28 4/11 min

for other possibility

ø = 11/2 m – 30h ----------when minute hand is in second 1/2 (between 6 to 12)

54 = 11/2 m – 30 × 7

11/2 m = 264

m = 48 min

at 7 hr 48 min

Regards

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