the distance between the two stations x and y is 220 km. a train leaves station x for y at a speed 80 km/hr. after half an hour another train leaves station y for x at a speed 100 km/hr. find the distance of the point where the two trains meet from x.
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In 1/2 hrs the train from x covers :
0.5 × 80 = 40km
The remaining distance is :
220 - 40 = 180km
Let the distance from y to the meeting point be z then:
The distance to be covered by the train from x is 180 - z
The time to meet is the same :
(180 - z) / 80 = z/100
18000 - 100z = 80z
18000 = 180z
z = 100
Distance from x is :
220 - 100 = 120 km
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