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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 ?

A

a. 45 min past 9

B

b. 50 min past 9

C

c. `49(1)/(11)` min past 9

D

d. `48(2)/(11)` min past 9

Text Solution

Verified by Experts

The correct Answer is:
C

Both the hands are 15 min space part at 9 O.clock. To be together between 9 and 10 minute hand has to gain 45 min.
Now, minute hand gains 55 min in 60 min.
It will gain 45 min in `(60)/(55) xx 45 = 49(1)/(11)` min. Therefoe, the hands are together at `49(1)/(11)` min past 9.
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Knowledge Check

  • At what time between 4 and 5 O'clock will the hands of a watch point it opposite directions?

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