Multiple choice

Two places A and B are at a certain distance. Ramu started from A towards B at a speed of 40kmph. After 2 hours Raju started from B towards A at a speed of 60 kmph. If they meet at a place C then ratio of ratio of time taken by Raju to Ramu to reach Place C is 2:3. Then what is the distance between A and B?

  1. 300 Km

  2. 400 Km

  3. 480 Km

  4. 600 Km

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

Let t be the time taken by Raju to reach C. Then Ramu takes 1.5t to reach C. Ramu travels for (t + 1.5 + 2) hours total? No, Ramu travels for (t + 1.5 + 2) is incorrect. Let Ramu reach C at time T_ramu and Raju at T_raju. Raju starts 2 hours later. If they meet at C, the distance from A to C is 40 * (T_ramu) and B to C is 60 * (T_ramu - 2). Given T_raju / T_ramu = 2/3, this implies a specific distance. Solving the system yields 480 km.

AI explanation

Let t be the time in hours Raju traveled until they met, meaning Ramu traveled for t + 2 hours to reach the meeting point. Because they meet, the distance Ramu covered equals the distance Raju covered, so 40(t + 2) = 60t, which gives t = 4. The distance from A to B is the total distance covered by both, calculated as 40(4 + 2) + 60(4), equaling 480 km.

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