| At what time (in min) between 3'O clock and 4'O clock, both the needles will coincide each other? |
A) \[5\frac{1}{11}\]
B) \[12\frac{4}{11}\]
C) \[13\frac{4}{11}\]
D) \[16\frac{4}{11}\]
Correct Answer: D
Solution :
| At 3 O'clock, the minute hand is 15 min spaces apart from the hour hand. |
| To be coincident, it must gain 15 min spaces. |
| 55 min are gained in 60 min. |
| \[\therefore \]15 min are gained at\[\frac{60}{55}\times 15=16\frac{4}{11}\min \] |
| \[\therefore \]The hands are coincident at \[16\frac{4}{11}\min \]past 3. |
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