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The distance between two station A and B is 220 km. A train leaves A toward B at an average speed of 80 km/hr. after half an hour another train leaves B toward A at an average speed at 100 km/hr. the distance of the point of two train meet, from A is ?
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- 120 km.
- 130 km.
- 140 km.
- 150 km.
Correct Option: A
Let the required distance be x km.
Then, ( x/80 ) - ( 220 - x ) / 100 = 1/2
⇒ 5x - 4( 220 - x ) = 200
⇒ 9x = 1080
⇒ x = 120 km
∴ Required distance = 120 km