| A train covers certain distance between two places at a uniform speed. If the train moved 10 km/h faster, it would take 2 h less and if the train were slower by 10 km/h, it would take 3 h more than the scheduled time. Find the distance covered by the train. |
A) 300 km
B) 600 km
C) 800 km
D) 1200 km
E) None of these
Correct Answer: E
Solution :
| Let length of both train and platform be x. |
| Distance covered by the train to cross the platform |
| \[=x+x=2x\] |
| Time = 1 min = 60 s |
| and speed \[90\,\,km/h=90\times \frac{5}{18}=25m/s\] |
| \[\therefore \]\[\text{Distance}=\text{Speed}\times \text{Time}\] |
| \[\Rightarrow \] \[2x=25\times 60\] |
| \[\Rightarrow \] \[x=750\,\,m\] |
| \[=75000\,\,km\] |
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