At what time between 4 and 5 o’clock will the hands of a clock be together?

Explanation

At 4 o’clock, hands are 20 minute spaces apart. Minute hand gains 55 minute spaces in 60 minutes. Time taken to gain 20 spaces = (60 / 55) * 20 = 240 / 11 = 21 9/11 minutes past 4.