Discussion
From P and Q, two trains start moving towards each other at the same time. Their speeds are 120 km/hr and 100 km/hr, respectively. When the two trains meet each other, one train has covered 40 km more than other train. Find the distance between P and Q?
Answer: D
Trains moving in the same direction close at the difference of their speeds; in opposite directions, at the sum.
They approach at \( 120 + 100 = 220 \) km/hr, but the 40 km gap in distance comes from the difference in their speeds.
\[ 120t - 100t = 40 \quad\Longrightarrow\quad 20t = 40 \quad\Longrightarrow\quad t = 2 \text{ h} \]
\[ PQ = 220 \times 2 = 440 \text{ km} \]
Checking: one train covers 240 km and the other 200 - exactly 40 km apart.
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