Multiple choice

A train started from station A and proceeded towards station B at a speed of 96 km/h. 45 minutes later, another train started from station B and proceeded towards station A at 100 km/h. If the distance between the two stations is 856 km, at what distance from station A will the trains meet?.

  1. 456 km

  2. 588 km

  3. 528 km

  4. 800 Km

  5. None of these

Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

First train travels for 45 minutes (0.75 hours) alone: distance = 96 × 0.75 = 72 km from A. Remaining distance = 856 - 72 = 784 km. When both trains move toward each other, relative speed = 96 + 100 = 196 km/h. Time to meet = 784 ÷ 196 = 4 hours. In this time, first train covers additional 96 × 4 = 384 km. Total from A = 72 + 384 = 456 km. Option B (588) incorrectly uses only the relative speed portion.