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?
Correct Answer: 120 km.
Explanation:
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