Multiple choice

Shops A and B are 1200 m apart. The ratio of the speed of Harish to that of Sunil is 3 : 2. If Harish and Sunil start walking towards each other respectively from stations A and B, and meet for the first time at point C, then what is the distance between point C and station B?

  1. 240 m

  2. 360 m

  3. 480 m

  4. 720 m
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Harish and Sunil move towards each other. Ratio of speeds = 3:2. They meet at point C. Distance covered by Harish / Distance covered by Sunil = Ratio of speeds = 3/2. Let distance from A to C be 3x and C to B be 2x. 3x + 2x = 1200, so 5x = 1200, x = 240. Distance between C and B = 2x = 480 m.

AI explanation

Since they walk towards each other, we use the relative speed method to find the meeting point. The distances covered will be in the ratio of their speeds, so the ratio of the distance covered by Harish to the distance covered by Sunil is 3:2. The total distance is 1200 m, so Sunil's distance from B is (2 / (3 + 2)) times 1200 m. The distance between point C and station B is (2/5) of 1200 m, which equals 480 m.

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