The speed of a boat in still water is 500% more than the speed of the current. What is the respective ratio between the speed of the boat downstream and speed of the boat upstream ?

Let speed of current = $x$ km/h

=> Speed of boat in still water = $x + (\\frac{500}{100} \\times x)$

= $x + 5x = 6x$ km/h

=> Speed of the boat downstream = $6x + x = 7x$ km/h

Speed of boat upstream = $6x - x = 5x$ km/h

$\\therefore$ Required ratio = $\\frac{7x}{5x}$

= $7 : 5$

Let speed of current = $x$ km/h

=> Speed of boat in still water = $x + (\\frac{500}{100} \\times x)$

= $x + 5x = 6x$ km/h

=> Speed of the boat downstream = $6x + x = 7x$ km/h

Speed of boat upstream = $6x - x = 5x$ km/h

$\\therefore$ Required ratio = $\\frac{7x}{5x}$

= $7 : 5$

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