Petra, who can paddle her canoe at a rate of 12 mph in calm water, is paddling her canoe on a river whose current is 6 mph. How long will it take her to travel 3 miles upstream against the current?
Please help
Basically she's traveling at 6mph (12mph - 6mph). To travel 3 miles at a speed of 6mph, she would need to paddle for 30 minutes
To find out how long it will take Petra to travel 3 miles upstream against the current, we need to calculate her apparent speed.
Apparent speed is the difference between her actual speed and the speed of the current.
So, Petra's apparent speed when paddling upstream against the current is 12 mph - 6 mph = 6 mph.
Now we can calculate the time it will take for her to travel 3 miles against the current using the formula:
Time = Distance / Speed
Time = 3 miles / 6 mph
Time = 0.5 hours or 30 minutes.
Therefore, it will take Petra 30 minutes to travel 3 miles upstream against the current.
To find out how long it will take Petra to travel 3 miles upstream against the current, we can use the formula: time = distance / rate.
In this case, the distance is 3 miles and the rate is the speed of Petra's canoe with respect to the current, which can be calculated by subtracting the speed of the current from the speed of the canoe in calm water.
Speed of canoe with respect to current = Speed of canoe in calm water - Speed of current
Speed of canoe with respect to current = 12 mph - 6 mph = 6 mph
Now, we can calculate the time it will take Petra to travel 3 miles upstream against the current.
time = distance / rate
time = 3 miles / 6 mph
time = 0.5 hours
Therefore, it will take Petra 0.5 hours, or 30 minutes, to travel 3 miles upstream against the current.