At what time between 9 and 10 o'clock will the hands of a clock be together?(49 +1/11) min past 9(59 +1/11) min past 10(49 +1/11) min past 11(49 +2/11) min past 9

The hands of a clock are together at (49 + 1/11) minutes past 9.

Here's the step by step explanation:

1. At 9 o'clock, the minute hand is at 12 and the hour hand is at 9.

2. The minute hand moves 12 times faster than the hour hand.

3. So, to find out when the hands will be together, we need to find out when the minute hand has caught up with the hour hand.

4. The minute hand will have to make a little more than a full circle to catch up with the hour hand, because the hour hand will have moved a little past 9 by the time the minute hand has made a full circle.

5. The minute hand moves 360 degrees in 60 minutes and the hour hand moves 30 degrees in 60 minutes.

6. So, the minute hand gains (360 - 30) = 330 degrees in 60 minutes.

7. To find out when the hands are together, we need to find out when the minute hand has gained 30 degrees on the hour hand (because at 9 o'clock, the hands are 30 degrees apart).

8. The minute hand gains 330 degrees in 60 minutes, so it gains 30 degrees in (60/330)*30 = 5.45454545 minutes.

9. So, the hands will be together at 9:00 plus about 5.45 minutes, which is (49 + 1/11) minutes past 9.

The hands of a clock are together at (49 + 1/11) minutes past 9.

Here's the step-by-step explanation:

1. The minute hand moves 12 times as fast as the hour hand.
2. At 9 o'clock, the minute hand is at 45 and the hour hand is at 9.
3. The minute hand needs to catch up to the hour hand, which is 15 minute spaces ahead.
4. Since the minute hand moves 12 times as fast, it will take (15/11) hours to catch up.
5. Convert this to minutes by multiplying by 60, which gives (900/11) minutes or (81 + 9/11) minutes.
6. Subtract the 30 minutes that have already passed in the hour, which gives (49 + 1/11) minutes past 9.

The hands of a clock are together at (49 + 1/11) minutes past 9.

Here's the step by step explanation:

1. At 9 o'clock, the minute hand is at 12 and the hour hand is at 9.

2. The minute hand moves 12 times faster than the hour hand.

3. So, to find out when the hands will be together, we need to find out when the minute hand has caught up with the hour hand.

4. The minute hand will have to make a little more than a full circle to catch up with the hour hand, because the hour hand will have moved a little past 9 by the time the minute hand has made a full circle.

5. The minute hand moves 360 degrees in 60 minutes and the hour hand moves 30 degrees in 60 minutes.

6. So, the minute hand moves 330 degrees more than the hour hand in 60 minutes.

7. To find out when the hands are together, we need to find out when the minute hand has moved 330 degrees more than the hour hand.

8. This happens at (49 + 1/11) minutes past 9.

9. So, the hands of a clock are together at (49 + 1/11) minutes past 9.

The hands of a clock are together at (49 + 1/11) minutes past 9.

Here's the step by step explanation:

1. The minute hand moves 12 times as fast as the hour hand.
2. In every hour, the minute and hour hand overlap once.
3. At 9 o'clock, the minute hand is at 45 and the hour hand is at 9.
4. The minute hand needs to move 180 degrees to overlap with the hour hand.
5. Since the minute hand moves 12 times as fast as the hour hand, it will take (180/11) minutes for the minute hand to catch up with the hour hand.
6. Therefore, the hands of a clock will be together at (49 + 1/11) minutes past 9.