The two trains leave Varanasi for Lucknow at 11:00 am and at 11:30 am. respectively and travel at a speed of 110 km/h and 140 km/h respectively. How many kilometres from Varanasi will both trains meet?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is Option 4 i.e. 256 2/3 km
| Application | Understanding |
| The train leaving at 11:00 AM covers some extra distance in the extra one hour, which is the distance between both trains at 11:30 AM. |
Distance covered in 30 minutes by the first train = (1/2) × 110 ⇒ 55 km Time is taken by the latter train to cover the distance = 55/(140 - 110) ⇒ 11/6 hours Distance covered = 140 × (11/6) ⇒ 256.6667 or 256 2/3 km |