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A boat takes half time in moving a certain distance downstream than upstream. The ratio of the speed of the boat in still water and that of the current is?

a) 2 : 1
b) 4 : 3
c) 1 : 2
d) 3 : 1

Answer: d
Explanation: Let the speed of boat in still water = x km/hr,
and Speed of current = y km/hr
Rate downstream = (x + y) km/hr, and Rate upstream = (x – y) km/hr
Distance = Speed × Time
$$\eqalign{ & \left( {x – y} \right) \times 2t = \left( {x + y} \right) \times t \cr & 2x – 2y = x + y \cr & 2x – x = 2y + y \cr & x = 3y \cr & \Rightarrow \frac{x}{y} = \frac{3}{1} = 3:1 \cr} $$

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