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A train 150 metres long crosses a milestone in 15 seconds and crosses another train of the same length travelling in the opposite direction in 12 seconds. The speed of the second train in km/hr is

a

52

b

56

c

58

d

54

Answer : Option C
Explanation :

Speed of first train =15015=10 m/sec=frac{150}{15}=10 mathrm{~m} / mathrm{sec}

Case-II,

Time = Length of both trains  Relative speed =frac{ ext { Length of both trains }}{ ext { Relative speed }}

12=2×15010+x12=frac{2 imes 150}{10+x}

Where speed of second train = x m/sec

120+12x=300Rightarrow 120+12 x=300

12x=300120=180Rightarrow 12 x=300-120=180

x=18012=15 m/sec.=15×185=54 km/h.Rightarrow x=frac{180}{12}=15 mathrm{~m} / mathrm{sec} .=frac{15 imes 18}{5}=54 mathrm{~km} / mathrm{h} .

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