If the two hands of a clock coincide every 64 minutes, how much time does the clock gain in a day (24 hours)?

At what time between 1 o'clock and 2 o'clock will the hands of a clock be at a right angle?

At what time between 3 o'clock and 4 o'clock is the minute hand of a clock exactly 4 minute spaces ahead of the hour hand?

At what time after 3 o'clock are the hour hand and the minute hand of a clock at right angles for the first time?