Two trains from points A and B moving in the opposite direction start at the…
2024
Two trains from points A and B moving in the opposite direction start at the same time, at the point, they meet the second train travels 120 km more than the first. The speeds are 50kmph and 60kmph respectively find the distance between A and B?
- A.
1240 kms
- B.
1280 kms
- C.
1355 kms
- D.
1320 kms
Attempted by 13 students.
Show answer & explanation
Correct answer: D
Key idea: Both trains start at the same time and meet after the same time, so their travel times are equal.
Let the first train travel x km from A. Then the second train travels x + 120 km from B.
Let t be the meeting time. Time for first train = x/50. Time for second train = (x + 120)/60. Since they meet at the same time, set the times equal:
x/50 = (x + 120)/60
Solve the equation: multiply both sides by 300 to clear denominators: 6x = 5(x + 120) ⇒ 6x = 5x + 600 ⇒ x = 600 km.
Distance traveled by second train = x + 120 = 600 + 120 = 720 km. Total distance between A and B = 600 + 720 = 1320 km.
Answer: 1320 km