Question

a river flows at 2 m/s. Juan's boat can travel twice as fast down the river as it can go up the river. How fast does the boat go in still water?

Answer 1

Answer: 6m/s

Step-by-step explanation:

Speed of running water = 2m/s

Speed of boat = 2×2m/s = 4m/s

Speed of boat in still water

= ( 4m/s - 2m/s) + 4m/s

= 2m/s + 4m/s

= 6m/s.. ans

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Answer 2

Answer:

The boat goes in still water with 6 m/s speed.

Step-by-step explanation:

• If a bloat flows in the direction of the flow of river, then the speed of boat will increase but if the boat flows in opposite direction of the flowing direction of river, then the speed of boat will decrease.
• Calculation of speed: Suppose the speed of boat in still water is 'v'.

     The speed of flow of river = 2 m/s.

     So in the direction of river's flow, the speed of boat = v + 2

     In the opposite direction of river's flow, the speed of boat = v - 2

     According to the given condition, The speed of boat in flow direction    = 2 × the speed of boat opposite to the flow direction.

           v + 2 = 2 (v - 2)

           v + 2 = 2v - 4

           2v - v = 2 + 4

            v = 6 m/s.

   ∴ The speed of boat in still water is 6 m/s.

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