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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?

  • A.180 kms
  • B.260 kms
  • C.220 kms
  • D.440 kms

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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