Discussion
A train 800 metres long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 minute, then the length of the tunnel (in meters) is:
Answer: C
\[ 1 \text{ km/hr} = \frac{5}{18} \text{ m/s} \]
\[ 78 \text{ km/hr} = 78 \times \frac{5}{18} = \frac{65}{3} \text{ m/s} \]
\[ \text{total distance in 60 s} = \frac{65}{3} \times 60 = 1300 \text{ m} \]
\[ \text{tunnel} = 1300 - 800 = 500 \text{ metres} \]
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