A passenger train 150 m long is travelling with a speed of 36 km/hr. If a man is cycling in the direction of train at 9 km/hr, the time taken by the train to pass the man is :
A. 10 seconds
B. 15 seconds
C. 18 seconds
D. 20 seconds
Answer: Option D
Solution(By Examveda Team)
Their relative speed in same direction := 36 - 9
= 27 km/hr
Time taken by train to cross the man = $$\frac{150}{27}$$
$$\left( {{\text{Time}} = \frac{{{\text{Distance}}}}{{{\text{Speed}}}}} \right)$$
$$\eqalign{ & {\text{Time}} = \frac{{150}}{{27 \times \frac{5}{{18}}}} \cr & \left[ {1{\text{ km/hr}} = \frac{5}{{18}}{\text{m/s}}} \right] \cr & {\text{Time = }}\frac{{150 \times 18}}{{27 \times 5}} \cr & {\text{Time = }}\frac{{30 \times 2}}{3} \cr & \therefore {\text{ Time = 20 seconds}} \cr} $$
Related Questions on Speed Time and Distance
A. 48 min.
B. 60 min.
C. 42 min.
D. 62 min.
E. 66 min.
A. 262.4 km
B. 260 km
C. 283.33 km
D. 275 km
E. None of these
A. 4 hours
B. 4 hours 30 min.
C. 4 hours 45 min.
D. 5 hours
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