Multiple choice

Two trains X and Y leave stations A and B, respectively, which are 180 km apart. Train X travels at a speed of 70 km/hr non-stop towards B. Train Y travels at 50 km/hr towards A, but stops for 15 min at a station known to be 60 km away from station B. At what approximate distance (in km) from station A will both the trains meet?

  1. 112

  2. 118

  3. 120

  4. 150

  5. 122
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Train X travels at 70 km/h. Train Y travels at 50 km/h but stops for 15 min (0.25 hours). In 0.25 hours, X covers 70 * 0.25 = 17.5 km. Remaining distance when Y starts moving again is 180 - 17.5 = 162.5 km. Relative speed = 70 + 50 = 120 km/h. Time to meet = 162.5 / 120 = 1.354 hours. Distance from A = 70 * (0.25 + 1.354) = 70 * 1.604 = 112.28 km.

AI explanation

Train Y takes 60 km divided by 50 km/hr, which is 1.2 hours, to reach the station and then stops for 0.25 hours, meaning it resumes travel after 1.45 hours. In 1.45 hours, Train X travels 70 km/hr times 1.45, covering 101.5 km. At the resume time, the distance between them is 180 minus 101.5 minus 60, equaling 18.5 km, and their relative speed is 70 plus 50, equaling 120 km/hr. They meet after 18.5 divided by 120 hours, during which Train X covers an additional 70 times (18.5/120) km, making the total distance from A approximately 101.5 plus 10.8, or 112 km. The result is 112.

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