Question

At what time between 4 and 5 o'clock are the hands of the clock together?

Answer 1

At 4 o'clock the hour hand is at 4 and the minute hand is at 12 It means that they are 20 minute spaces apart To be together the minute hand must gain 20 minutes over the hour hand
Now we know that 55 minutes are gained in 60 minutes
∴∴ 20 minutes are gained in
6655×20=24011=219116655×20=24011=21911 minutes
Therefore the hands will be together at 2191121911 min past 4