Multiple choice general knowledge math & puzzles

A train travels a certain distance taking 7 hrs in forward journey, during the return journey increased speed 12km/hr and the time taken is 5 hrs.What is the distance traveled on one side?

  1. 210

  2. 30

  3. 60

  4. 90
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let distance = d km. Forward speed = d/7 km/hr. Return speed = d/5 km/hr (12 km/hr faster). So: d/5 - d/7 = 12. Multiply by 35: 7d - 5d = 420. 2d = 420. d = 210 km. This checks out: forward speed = 210/7 = 30 km/hr, return speed = 210/5 = 42 km/hr (exactly 12 km/hr faster).

AI explanation

Let v be the forward speed and d the one-way distance. Forward: d = 7v. Return (speed v+12, time 5): d = 5(v+12). Setting them equal: 7v = 5v+60, so v=30 and d = 7*30 = 210.

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