Question

Find at what time between 7 and 8 o'clock will the hands of a clock be in the same straight line

Answer 1

There are two cases
Case I : When they are in opposite directions i.e. 30 min spaces apart
At 8 o'clock they are 40 minute spaces apart
To be in opposite directions minute hand will have to gain 40 - 30 = 10 min spaces
Now 10 minute spaces will be gained in
6055×10=1010116055×10=101011 minute
Hence hand will be in opposite directions at 101011101011 min past 8