A) 2.4
B) 1.5
C) 1.6
D) 2.0
E) None of these
Correct Answer: D
Solution :
| [d] Speed of the train =120 km/h |
| \[=120\times \frac{5}{18}=\frac{100}{3}m/s\] |
| Suppose the length of the platform = x m |
| Then, \[\frac{x+320}{\frac{100}{3}}=24\] |
| \[\Rightarrow \] \[3\,(x+320)=100\times 24\] |
| \[\Rightarrow \] \[x+320=800\] |
| \[\Rightarrow \] \[x=800-320=480\,m\] |
| Hence, speed of a man \[=\frac{480}{4\times 60}m/s=2\,m/s\] |
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