Multiple choice

Two places R and S are 800 km apart from each other. Two persons start from R towards S at an interval of 2 hours, where A leaves from R for S before B. The speeds of A and B are 40 km/h and 60 km/h respectively. B overtakes A at M, which is on the way from R to S. What is the distance from R, where B overtakes A?

  1. 260 km

  2. 235 km

  3. 240 km

  4. 300 km
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

A starts 2 hours before B, covering 40 × 2 = 80 km head start. B's relative speed over A is 60 - 40 = 20 km/h. Time for B to catch A = 80/20 = 4 hours. Distance from R where B overtakes A = B's speed × time = 60 × 4 = 240 km. Options A (260 km), B (235 km), and D (300 km) don't satisfy the catch-up condition.

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