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Mathematics

The speed of a boat in still water is 15 km/hr and speed of stream is 5 km/hr. The boat goes x km downstream and then returns back to the point of start in :

  1. (x20x5)\Big(\dfrac{x}{20} - \dfrac{x}{5}\Big) hrs

  2. (x10x20)\Big(\dfrac{x}{10} - \dfrac{x}{20}\Big) hrs

  3. (x20+x10)\Big(\dfrac{x}{20} + \dfrac{x}{10}\Big) hrs

  4. (x20x10)\Big(\dfrac{x}{20} - \dfrac{x}{10}\Big) hrs

Quadratic Equations

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Answer

Speed of boat (downstream) = Speed of boat in still water + Speed of stream = 15 + 5 = 20 km/hr.

Speed of boat (upstream) = Speed of boat in still water - Speed of stream = 15 - 5 = 10 km/hr.

By formula,

Time = DistanceSpeed\dfrac{\text{Distance}}{\text{Speed}}

Time taken by boat to go x km downstream = x20\dfrac{x}{20}

Time taken by boat to go x km upstream = x10\dfrac{x}{10}

Total time taken = (x20+x10)\Big(\dfrac{x}{20} + \dfrac{x}{10}\Big) hrs.

Hence, Option 3 is the correct option.

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