Multiple choice

Anil goes from A to B at a speed of 10 km/h and returns from B to A at a speed of 15 km/h. If the entire journey took 2 hours, then what is the distance between A and B?

  1. 12 km

  2. 24 km

  3. 6 km

  4. 20 km

  5. 10 km

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

Let d be the distance. The time taken is (d/10) + (d/15) = 2. Multiplying by 30 gives 3d + 2d = 60, so 5d = 60, which means d = 12 km.

AI explanation

Since Anil covers equal distances in both directions, we use the average speed formula for equal distances: 2xy / (x + y), where x is 10 km/h and y is 15 km/h. The average speed becomes (2 x 10 x 15) / (10 + 15) = 300 / 25 = 12 km/h. Given the total time for the round trip is 2 hours, the total distance covered is 12 x 2 = 24 km, making the one-way distance between A and B exactly half of that. The distance between A and B is 12 km.