Multiple choice

Rubi goes to a multiplex at the speed of 3 km/hr to see a movie and reaches 5 minutes late. If she travels at the speed of 4 Km/hr she reaches 5 minutes early. Then the distance of the multiplex from her starting point is?(in km/h)

  1. 2

  2. 3

  3. 5

  4. 4
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A Correct answer
Explanation

Let distance be d km and correct time be t hours. At 3 km/hr: time = d/3, reaching 5 minutes late means t = d/3 - 5/60. At 4 km/hr: time = d/4, reaching 5 minutes early means t = d/4 + 5/60. Equating: d/3 - 1/12 = d/4 + 1/12. Solving: d/3 - d/4 = 1/6, so d/12 = 1/6, giving d = 2 km.

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