Discussion
Two goods train each 500 m long, are running in opposite directions on parallel tracks. Their speeds are 45 km/hr and 30 km/hr respectively. Find the time taken by the slower train to pass the driver of the faster one.
Answer: B
Trains moving in the same direction close at the difference of their speeds; in opposite directions, at the sum.
Passing the driver of the other train means covering only the slower train's own length.
\[ \text{relative speed} = 45 + 30 = 75 \text{ km/hr} = 75 \times \frac{5}{18} = \frac{125}{6} \text{ m/s} \]
\[ t = \frac{500 \times 6}{125} = 24 \text{ seconds} \]
Passing the whole train would need 1000 m and take 48 seconds - which is why that value is on the list.
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