Find the Distance Between Stations A and B.
Form stations A and B, two trains start moving towards each other with the speeds of 150 km/h and 130 km/h, respectively. When the two trains meet each other it is found that one train covers 20 km. more than that of another train. Find the distance between stations A and B.
- 20 km
- 280 km
- None of these
Answer: (3) 280 km
Let be the distance covered by the first train = X km
And distance covered by second train = (X + 20) km
X/130 = (X + 20)/150
by cross multiplication,
150X = 130X + 130 x 20
150X – 130X = 2600
20X = 2600
X = 2600/20
X = 130 km
Total distance = X + X + 20 = 130 + 130 + 20
= 280 km
Hence, the answer is (3) 280 km.