Discussion
Two trains A and B leave Kolkata for Sikkim at 8:00 pm and 8:30 pm respectively and run at 90 km/hr and 120 km/hr, respectively. At what distance from Kolkata, will the two trains meet?
Answer: B
The first train has a half-hour head start.
\[ \text{lead at 8:30} = 90 \times 0.5 = 45 \text{ km} \]
The second closes at \( 120 - 90 = 30 \) km/hr:
\[ t = \frac{45}{30} = 1.5 \text{ h} \]
\[ \text{distance from Kolkata} = 120 \times 1.5 = 180 \text{ km} \]
Checking with the first train: \( 90 \times 2 = 180 \) km in the two hours since 8 pm.
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