Question

in still water, a boat averages 7 miles per hour. it takes the same amount of time to travel 22 miles downstream, with the cuurent, as 6 miles upstream, against the current. what is the rate of the waters current?

Answer 1

To find the rate of the water's current, use the formula Speed = Distance/Time. Set up an equation with the times taken for the downstream and upstream journeys equal to each other. Solve the equation to find the rate of the water's current.

Step-by-step explanation:

To find the rate of the water's current, we can solve the problem using the formula: Speed = Distance/Time.

Let's denote the rate of the boat in still water as 'B' and the rate of the current as 'C'.

When the boat travels downstream with the current, the effective speed is (B + C). The time taken to travel 22 miles downstream is 22/(B + C).

When the boat travels upstream against the current, the effective speed is (B - C). The time taken to travel 6 miles upstream is 6/(B - C).

Since the times taken for both journeys are the same, we can set up the following equation: 22/(B + C) = 6/(B - C).

Solving this equation will give us the value of 'C', which represents the rate of the water's current.