| Two trains each 220 m long are travelling at 45 km/h and 54 km/h in opposite directions. They will cross each other in |
A) 12 s
B) 18 s
C) 16 s
D) 24 s
Correct Answer: C
Solution :
| Trains are running towards each other |
| Length of train \[1\,({{l}_{1}})=\]Length of train \[2({{l}_{2}})=220\] [given] |
| Speed of train 1 \[({{S}_{1}})\] = 45 km/h |
| Speed of train 2 \[({{S}_{2}})\] = 54 km/h |
| Time taken to cross each other \[=\frac{{{l}_{1}}+{{l}_{2}}}{{{S}_{1}}+{{S}_{2}}}\] |
| \[=\frac{440}{45+54}=\frac{440\,m}{99\times \frac{5}{18}}\] |
| \[=\,\,\frac{440}{99\times 5}\times 18=16\,s\] |
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