Multiple choice

Ramu started from A towards B at a speed of 20Km/hr and Raju started from B towards A. They crossed each other after one hour. Raju reached his destination 5/6 hour earlier than Ramu reached his destination.Then what is the distance between A and B?

  1. 40 Km

  2. 50 Km

  3. 60 Km

  4. 80 Km

  5. Cannot be determined
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let distance be D and Raju's speed be v. They meet in 1 hour, so Ramu travels 20 km and Raju travels v km. Total distance D = 20 + v. Time taken by Ramu is D/20, time by Raju is D/v. Given D/20 - D/v = 5/6. Substituting D = 20+v, we solve for v = 30. Thus D = 50.

AI explanation

Let the distance between A and B be D, Ramu's speed be 20 km/hr, and Raju's speed be S; since they meet after one hour, we have 20 plus S equals D. Ramu takes D/20 hours to finish and Raju takes D/S hours, leading to the equation D/20 minus D/S equals 5/6. Substituting D with 20 plus S and solving the resulting equation yields S equals 30 km/hr, so the total distance D is 50 km.

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