Question

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.

Answer 1

6/(10-x) = 4/(10+x)

Answer 2

• 2 mph

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