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At what time between 9 and 10 O'clock wi...

At what time between 9 and 10 O'clock will the hands of a watch be together ?
9 से 10 बजे के बीच किस समय घड़ी की सुइयां एक साथ होंगी?

A

35 minutes past 9

B

`49""1/11` minutes past 9

C

`55""2/11` minutes past 9

D

`45""1/11` minutes past 9

Text Solution

Verified by Experts

The correct Answer is:
B
From the formula, `theta=11/2m-30h" "[because 11/2m gt 30h]`

According to the question
Here, `theta=0^(@), h=9`
`" "[because` the hands of a clock coincide at `0^(@)]`
So, `0=11/2m-30h" or, "11/2m=30h`
or, `m=(60h)/11=(60 times 9)/11=540/11=49""1/11` minutes past 9
Therefore, the two hands of the clock between 9 and 10 o.clock are together at = `49""1/11` minutes past 9.
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