A train travelling at the speed of x km/h crossed a 300 m long platform in 30 second, and overtook a man walking in the same direction at 6 km/h in 20 seconds. What is the value of x?
A. 60
B. 96
C. 48
D. 102
Answer: Option B
Solution(By Examveda Team)
$$\eqalign{ & {\text{Train speed}} = x{\text{ km/h}} \cr & {\text{Length of train}} = L \cr & {\text{Length of platform}} = 300\,{\text{m}} \cr & {\text{Man's speed}} = 6{\text{ km/h}} \cr & \left( {x - 6} \right) \times \frac{5}{{18}} = \frac{L}{{20}} \cr & 100x - 600 = 18L{\text{ }}{\text{. }}{\text{. }}{\text{. }}{\text{. }}{\text{. }}{\text{. }}\left( {\text{i}} \right) \cr & x \times \frac{5}{{18}} = \frac{{L + 300}}{{30}} \cr & 150x = 18L + 5400 \cr & 150x - 5400 = 18L{\text{ }}{\text{. }}{\text{. }}{\text{. }}{\text{. }}{\text{. }}{\text{. }}\left( {{\text{ii}}} \right) \cr & {\text{Equation }}\left( {\text{i}} \right)\,\& \,\left( {{\text{ii}}} \right) \cr & 100x - 600 = 150x - 5400 \cr & 50x = 4800 \cr & x = 96{\text{ km/ h}} \cr} $$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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