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PLEASE HELP!!!! A boat can travel at an average speed of 10 miles per hour in still water. Traveling with the current, it can travel 6 miles in the same amount of time it takes to travel 4 miles upstream.

PLEASE HELP A boat can travel at an average speed of 10 miles per hour in still water Traveling with the current it can travel 6 miles in the same amount of tim class=

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mhanifa

Answer:

  • 2 mph

Step-by-step explanation:

Let the speed of current be x

Speed of the boat in same direction as current is

  • 10 + x

Speed against the current is

  • 10 - x

Based on the given we get the equation for time

  • 6/(10 + x) = 4/(10 - x)

Solving for x

  • 6(10 - x) = 4(10 + x)
  • 60 - 6x = 40 + 4x
  • 6x + 4x = 60 - 40
  • 10x = 20
  • x = 2

The answer is 2 mph

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