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At what iem between 8 and 9 o'clock will...

At what iem between 8 and 9 o'clock will the minute hand and the hour hand coincide with each other?

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From the formula, `theta=11/2m-30h" "[because11/2m gt 30h]`

According to the question
Here, `theta=0^(@), h=8`
`[because` when the minute hand and hour hand coincide each other, then the angle between them is `0^(@)]`.
So, `0=11/2m-30h" or, "11/2m=30h`
or, `m=(60h)/11=(60 times 8)/11`
`" "=480/11=43""7/11` minutes past 8 o.clock.
Therefore, the minute hand and hour hand coincide with each other at 8 hours `43""7/11` minutes.
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LUCENT PUBLICATION-CLOCKS-EXERCISE
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  4. At what angle the hands of a clock are inclined at 30 minutes past 6 ?

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  6. At what time between 9 and 10 O'clock will the hands of a watch be tog...

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  7. If the actual time shown on the clock is 6 hours 45 minutes, then what...

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  8. How many degrees does an hour hand covers in 20 minutes

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  9. How many degrees does the minute hand covers, in the same time in whic...

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  10. The angle between the two hands of a clock is 30^(@), when the hour ha...

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  12. How much does the clock gain or lose per day if its hands coincide eve...

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  15. At watch, which gains uniformly, is 3 minutes slow at 12 noon on Sunda...

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  16. An accurate clock shows 8 O' clock in the morning. Through how many de...

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