RRB Junior Engineer Stage 1 Model Papers 1

At 9 O‘clock, the minute hand is $9\times 5=45$ minute – spaces behind the hour hand. Therefore, the minute hand will have to gain $45\mathit{–}30=15$ minute space over the hour hand.
∵ Gain of 55 minute spaces equal 60 minutes.
∴ Gain of 15 minute spaces equals $=\frac{60}{55}\times 15=\frac{180}{11}=16\frac{4}{11}$
Therefore, hour and minute hands of a clock point in opposite direction after 9 O‘clock at $16\frac{4}{11}$ minutes past 9