[49 \dfrac{1}{11} min. ...] At what time between 9 and 10 oclock will the hands of a watch be together?

For Competitive Exams

At what time between 9 and 10 oclock will the hands of a watch be together?

45 min. past 9

50 min. past 9

49$ \dfrac{1}{11} $min. past 9

48$ \dfrac{2}{11} $min. past 9

Explanation:

To be together between 9 and 10 oclock, the minute hand has to gain 45 min. spaces.

55 min. spaces gained in 60 min.

45 min. spaces are gained in$ \left(\dfrac{60}{55} \times 45\right) $min or 49$ \dfrac{1}{11} $min.

$\therefore$ The hands are together at 49$ \dfrac{1}{11} $min. past 9.

Additional Questions

At what time, in minutes, between 3 oclock and 4 oclock, both the needles will coincide each other?	Answer
A watch which gains uniformly is 2 minutes low at noon on Monday and is 4 min. 48 sec fast at 2 p.m. on the following Monday. When was it correct?	Answer
A clock strikes 4 taking 9 seconds. In order to strike 12 at the same rate, the time taken is?	Answer
Two alarm clocks ring their alarms at regular intervals of 50 seconds and 48 seconds. If they first beep together at 12 noon, at what time will they beep again for the first time?	Answer
At what time between 7 and 8 oclock will the hands of a clock be in the same straight line but, not together?	Answer
At what time between 5.30 and 6 will the hands of a clock be at right angles?	Answer
At 3:40, the hour hand and the minute hand of a clock form an angle of:	Answer
The angle between the minute hand and the hour hand of a clock when the time is 8.30, is:	Answer
At what time between 4 and 5 oclock will the hands of a watch point in opposite directions?	Answer
At what time between 9 and 10 oclock will the hands of a watch be together?	Answer

Share with Friends