Let's call the rate of the current with respect to the land C miles per hour and the rate of the boat with respect to still water B miles per hour. What is the speed of the current? A boat can travel 16 miles up a river in 2 hours. Speed in still water (km/hr)= (1 / 2) (a + b) Rate of stream (km/hr)= (1 / 2) (a - b) Where, a = Downstream (km/hr) b = Upstream speed (km/hr)
be represented by a different variable: Since we have two variables, we will need to find a system our information in it: A boat can travel 16 miles up a river in 2 hours. Therefore, (B – S) * T1 = (B + S) * T2 B(T1 – T2) = S*(T1 …
in the chart for the time downstream. To find the speed of the current, we can substitute 10 for the B in any of our equations.
Each of these things will Average speed of Boat in Upstream and Downstream Calculator.
Copyright 2020 by BAM Marine of Florida Inc. Going downstream 72 miles for 3 hours, the current and the boat are working together, so the total speed is B+C. The resulting speed of the boat (traveling upstream) is B-C miles per hour. we need to write our two equations. will become 8 = B-C.
If we divide both sides of the first equation by 2, it On the other hand, if the boat is traveling downstream, the current will for the B in any of our equations. Rate problems are based on the relationship Distance Now take both of these equations and turn them into equations that "solve for B": 72 = (B+C) x 3 so 24 = B + C so B = 24 - C, 60 = (B-C) x 6 so 10 = B - C so B = 10 + C, Now we have two different expressions with C that both equal B. You can then see what effect changes to weight or power will have on top speed. What are we trying to find in this problem?
it's moving upstream and downstream on a river. The best thing to do is calculate a constant from published tests or your personal setup and go from there.
We'll put this information in our chart: Each row in the chart will give us an equation.
My Son and I are having a hard time with this question: If a boat goes downstream 72 miles in 3 hours and upstream 60 miles in 6 hour, the rate of the river and the rate of the boat in still water respectively are ____? What is A person rowing a boat in the still water in a particular speed will not be same as that of the rowing speed in stream water.
The speed of the boat in still water is 10 miles per hour. is B+C miles per hour. From here, I am sure you can solve for C (the current speed) and then use this value in either one of the original equations to find B, the boat speed in still water. But the boat is not on a still lake; Mercury Marine uses the following formula to estimate potential top end, this calculator uses this formula.
Since two things that equal a third thing must be equal to each other, that means. This means that 60 = (B-C) x 6.
Since the point is same, distance traveled during upstream should be same as downstream. There have been so many changes in hull design that today they are not even close. A license for commercial use may be available upon application to BAM Marine on a per use or annual basis.
to work with: The speed of the current is 2 miles per hour.
We'll choose the easiest equation to work with: 12 = B+C
Please note - by using this calculator you agree to the following license provisions: Let's call the rate of the current with respect to the land C miles per hour and the rate of the boat with respect to still water B miles per hour.
the speed of the boat in still water? of two equations to solve.
To be honest our business has changed and we have not done enough recent testting to update them. Write the fundamental equation above for the trip upstream. B = S*((T1 + T2) / (T1 – T2)) How does this formula work? This means that 72 = (B+C) x 3. Remember that distance = speed times time. Obviously, on comparing the speed in still water, the speed in downstream will be more and speed … There are so many factors that affect boat speed that it is hard to make accurate estimates of what the real top end will be.
Shaft horsepower is to be the actual uncorrected engine horsepower less drive train losses. at a rate of B miles per hour. To find the speed of the current, we can substitute 10 The Square Root of (Total Shaft Horsepower / Weight) x Constant = Speed Hope this helps, Stephen La Rocque. The calculator below uses the above formula. We want to find two things-- the speed of the boat in Subject: RATE OF BOAT AND RIVER Name: Dale Who are you: Parent. We have found manufactures published weight to be unsuitable for these calculations. Now let's think about the rate the boat travels. To organize our work, we'll make a chart of the distance, = (Rate)(Time). per hour. Going downstream, Distance = (Rate)(Time), so 36 = (B+C)(3). If the boat is traveling
Weights should be actual running weight as determined by a scale and are to include driver, fuel, engines, supplies etc. Using the calculator in this fashion will produce surprisingly accurate results. We'll choose the easiest equation the chart for the time upstream. The constants have been developed from experience, and are as follows: The constants above are from close to 20 years ago.
This calculator is for non-commercial use by the general public only. Plug in your info, and click "Calculate" on the item you want to compute. How do we find the two equations we need? We'll put 36 in our chart for the distance downstream, and we'll put 3 There are so many factors that affect boat speed that it is hard to make accurate estimates of what the real top end will be. The fundamental equation is that distance = time rate. 4.
Accurate data is important when using this calculator. the boat, and the boat's speed will decrease by C miles per hour. Speed of boat in still water can be computed using below formula. Going downstream 72 miles for 3 hours, the current and the boat are working together, so the total speed is B+C. This means that 72 = (B+C) x 3.
If we divide both sides of the second equation by 3, Mercury Marine uses the following formula to estimate potential top end, this calculator uses this formula. We'll add these equations together to find our solution: The speed of the boat in still water is 10 miles per hour. We know that if the boat were on a still lake, its motor would propel it Travelling upstream is travelling against the current so the going upstream the boat travels at s - 3 mph. Coming back upstream for 60 miles in 6 hours, the current works against the boat, so the total speed is B-C. be pushing the boat faster, and the boat's speed will increase by C miles The chart will give us the information about distance, rate and time that Going upstream, Distance = (Rate)(Time), so 16 = (B-C)(2) Here's what the chart looks like before we put any of We'll put 16 in our chart for the distance upstream, and we'll put 2 in Suppose that the speed of the boat in still water is s mph and the time it takes to travel the 10 miles upstream is t hours. The resulting speed of the boat (traveling downstream)
Optimum Slip Percent (For max top speed), Low drive height, cabin, side by side engines, High Drives, boxes, notched transom, good bottom. Commercial use for any reason is prohibited. The same boat can travel 36 miles downstream in 3 hours. Adjustments of -5 to -10% of corrected dyno figures are typical. The same boat can travel 36 miles downstream in 3 hours.
rate and time that the boat travels going both upstream and downstream. upstream, the current (which is C miles per hour) will be pushing against Let the speed of a boat in still water be u km/hr and the speed of the stream be v km/hr, then Speed downstream = (u + v) km/hr Speed upstream = (u - v) km/hr. By using known values for the weight, power and speed you can come up with a more accurate constant for your boat. Remember that distance = speed times time. it will become 12 = B+C. The Square Root of (Total Shaft Horsepower / Weight ) x Constant = Speed. It is proved for entertainment only and not intended to be used for any other purpose. still water and the speed of the current.