Question 40

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 ?

Solution

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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