Multiple choice

After travelling a certain distance, a train develops a snag and its speed is decreased to half of its original speed and thus, it reaches its destination 45 minutes late. Had the snag occurred 30 km further, it would have reached its destination 15 minutes earlier. What is the speed of the train?

  1. 90 kmph

  2. 105 kmph

  3. 150 kmph

  4. 120 kmph

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

Let original speed be v and distance be d. Time taken is d/v. With snag, time is (d1/v) + (d2/(v/2)) = d/v + 45. If snag is 30km further, time is d/v + 30. Solving the system yields v = 120 kmph.