An express A starts at 2.30 pm from Nampalli station and travels towards Vizag…
2025
An express A starts at 2.30 pm from Nampalli station and travels towards Vizag station at speed of 80 kmph. Another express starts at 4.30 pm from Nampalli station to Vizag station at speed of 100 kmph. How far away from station Nampali will the two trains meet?
- A.
600 km
- B.
800 km
- C.
750 km
- D.
700 km
Attempted by 5 students.
Show answer & explanation
Correct answer: B
Answer: 800 km
Let x be the number of hours after 2:30 pm when the two trains meet. The second train leaves 2 hours later (at 4:30 pm), so it travels for (x - 2) hours.
Distance travelled by the first train = 80 × x km.
Distance travelled by the second train = 100 × (x - 2) km.
Set distances equal and solve: 80x = 100(x - 2) ⇒ 80x = 100x - 200 ⇒ 20x = 200 ⇒ x = 10 hours.
Therefore the meeting distance from Nampalli = 80 × 10 = 800 km.