Distance between the two stations a and b is 300 km. A train leaves at a speed of 30 km / h from the station. At the same time, another train station leaves at a speed of 45 km / h. How far will the two trains meet together?
Answers
Answer:
The two trains meet after 4 hours at a point that is 120 km away from Station A and 180 km away from Station B.
Step-by-step explanation:
We are assuming that the trains are travelling in opposite directions.
Train 1 moves from A to B
Train 2 moves from B to A
Let x be the distance from Station A where the two trains meet
Hence the distance from Station B will be (300 - x)
[Because A and B are 300 km away]
Speed = Distance / Time
Time = Distance / Speed
Speed of Train 1 = 30 km per hour
Speed of Train 2 = 45 km per hour
At point of meeting
Distance for Train 1 = x
Distance for Train 2 = (300 - x)
As the trains meet:
x/30 = (300-x)/45
45x = 30*(300 - x)
45x = 9000 - 30x
75x = 9000
x = 120
Distance of meeting point from Station A = 120km
Time taken = x/30 = 120/30 = 4 hours