Question 64

A boat can travel 60 km in 3 hours while going downstream, It can travel 90 km in 5 hours while going upstream. What is the ratio of the speed of the boat in still water to the speed of the stream?

Solution

downstream = $$\frac{distance}{time}$$

downstream = $$\frac{60}{3}$$

=20km/hr

upstream= $$\frac{distance}{time}$$

upstream = $$\frac{90}{5}$$

= 18km/hr

Speed of boat =$$\frac{speed\ of\ upstream+speed\ of\ downstream}{2}$$

= 19km/hr

Speed of stream=$$\frac{speed\ of\ upstream-speed\ of\ downstream}{2}$$

= 1km/hr

Ratio = $$19:1$$

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