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Aptitude · Q57

Problems On Trains

Competitive Exams · Aptitude · question 57

Q57

A train 100 meter long meets a man going in opposite direction at 5 km/h and passes him in 71/5 seconds. What is the speed of the train (in km/hr)?

A.
45 km/h
Answer
B.
60 km/h
C.
55 km/hr
D.
50 km/hr

Answer: Option A

Solution

Answer: Option A
Solution:
\begin{aligned} & {\text{Relative speed of man & train}} \\ & {\text{ = }}\frac{{100 \times 5}}{{36}} \times \frac{{18}}{5} \\ & {\text{ = 50km/hr}} \\ & \therefore {\text{speed of train}} \\ & {\text{ = 50}} - {\text{5}} \\ & {\text{ = 45 km/hr}} \\\end{aligned}