Multiple choice

A man takes 25 hours to go against the stream by boat and return to the starting point with the stream. If the speed of the boat in still water and speed of the current is 10 km/hr. and 4 km/hr. respectively then the distance between initial point and last point what will the distance from the initial point. किसी व्यक्ति को नाव द्वारा गन्तव्य पर धारा के अनुकूल जाने तथा धारा के प्रतिकूल प्रस्थान बिन्दु पर लौटने में 25 घंटे लगते हैं। यदि शांत जल में नाव की चाल तथा धारा की चाल क्रमशः 10 किमी/घंटा तथा 4 किमी./घंटा हो, तो प्रस्थान बिन्दु से गन्तव्य की दूरी होगी-

  1. 105 km/किमी.

  2. 106 km/किमी.

  3. 107 km/किमी.

  4. 108 km/किमी.

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A Correct answer
Explanation

Boat speed in still water = 10 km/h, current speed = 4 km/h. Downstream speed = 10+4 = 14 km/h. Upstream speed = 10-4 = 6 km/h. Total time = 25 hours for round trip. Let distance = d. Then d/14 + d/6 = 25. Solving: (6d + 14d)/(84) = 25, so 20d = 2100, giving d = 105 km. The answer is 105 km.