Question

at what time are hour and minute hands of a 12 hour clock together between 6 and 7 pm? a)6h:32m:51s PM b)6hr:31m:10s PM c)6hr:31m:22s PM d) 6hr:32m:43s PM​

Answer 1

Answer:

d) 6hr:32m:43s PM​

Step-by-step explanation:

What is the exact time between 6 and 7 when the minute and hour hand coincide?

Let the time be 6:x.

At 6:x the minute hand is at x*6 = 6x deg from 12.

At 6:x the hour hand is at 6*30 +x*30/60 = 180+0.5x deg from 12.

Since the two hands coincide 6x = 180 + 0.5x, or

5.5x = 180, or x = 32.72727272

So at 6:32:43.2 do the two hands of a clock coincide.