Find the Distance Between A and B
Two trains start from stations A and B and travel towards each other at speeds of 50 kmph and 60 kmph respectively. At the time of their meeting. the second train has travelled 120 km more than the first. The distance between A and B is
- 1200 km
- 1440 km
- 1320 km
- 990 km
Answer: (3) 1320 km
Let be the first train covered distance = X km (when it meet second train)
Then, the distance covered by second train = (X + 120) km
Time taken by first train to cover X km = X/50 hr.
And time taken by second train to cover (X + 120) km = (X + 120)/60 hr.
According to the question,
X/50 = (X + 120)/60
60X = 50 x (X + 120)
60X = 50X + 50 x 120
60X – 50X = 6000
10X = 6000
X = 6000/10
X = 600 km
Thus, total distance between station A and B = X + X + 120
= 600 + 600 + 120
= 1320 km
Hence, the answer is (3) 1320 km.