The speed of a boat along the current and against the current are 10 km/hr and 8 km/hr respectively. What is the speed of boat (in km/hr) in still water?

  1. 2
  2. 9
  3. 4.5
  4. 6

Answer (Detailed Solution Below)

Option 2 : 9
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Detailed Solution

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Let the speed of the boat is x and speed of the current is y.

Speed of a boat along the current (x + y) = 10 km/hr ----Equation(i)

Speed of a boat against the current (x - y) = 8 km/hr ---- Equation(ii)

Added the equation(i) and equation(ii)

⇒ x + y + x - y = 18

⇒ 2x = 18

⇒ x = 18/2 = 9km/hr

Speed of the boat is 9 km/hr
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