Q3/018) If the hands of a clock are at 12 noon? how long is it before the hands cross again

let it cross after x minutes

in 60 minutes minute hand has covered 360 degree and so in x minutes

6x degree

in 60 minutes hr hand has covered 30 degrees so x/2 degrees in x minutes

now minute hand travels faster and 2 shall meet when difference is 360 ( as for one hr it has advanced 360)

or 6x - x/2 = 360 or 11/2x = 360 or x = 720/11 minute or 1 hr and 60/11 minutes