Question : The speeds of a boat along the current and against the current are 10 km/hr and 8 km/hr, respectively. What is the speed (in km/hr) of the current?
Option 1: 1
Option 2: 2
Option 3: 3
Option 4: 9
Correct Answer: 1
Solution :
Let the speed of the boat be $x$ km/hr.
The speed of the current is $y$ km/hr.
Speed of boat along the current = Speed of boat + Speed of current
$x+y$ = 10 km/hr ----(1)
Speed of boat against the current = Speed of boat – Speed of current
$x-y$ = 8 km/hr ----(2)
Solving (1) and (2), we get,
$x$ = 9 km/hr and $y$ = 1 km/hr
Hence, the correct answer is 1.
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