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The current flows at 4 kph.

The boat motors at 11 kph.

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Q: What is the rate of the current if Jim's motorboat travels downstream at the rate of 15km per hour and going upstream it travels at 7km per hour?
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A badge moves 8km per hour in still water it travels 6km upstream and 6 km downstream in a total time of 2 hours what is the speed of the current?

The speed upstream is B - C where B is the speed of the badge in still water and C is speed of the current The speed downstream is B + C. Velocity = Distance/Time : therefore Time = Distance/Velocity. Time for upstream journey = 6/(B - C) Time for downstream journey = 6/(B + C) BUT Total time for journey = 2 = 6/(B - C) + 6/(B + C) = 12B/(B2 - C2) Therefore 2B2 - 2C2 = 12B : However, B = 8kph so substituting gives, 128 - 2C2 = 96 : 2C2 = 32 : C2 = 16 : C = 4 The speed of the current is 4kph.


If a boat travels upstream against a 3 mph current and travels 5 hours and the return trip takes 2.5 hours what is the speed of the boat?

Suppose the speed of the boat is x mph. Then upstream, it travels 5 hours at x-3 mph and so covers 5x - 15 miles. When going downstream the boat covers the same distance, at x+3 mph, in 2.5 hours so (5x-15)/(x+3) = 2.5 Multiply through by 2*(x+3): 2*(5x-15) = 5*(x+3) 10x - 30 = 5x + 15 or 5x = 45 giving x = 9 mph.


A boat travels 20 kms upstream in 6 hrs and 18 kms?

7/12 kmph


A fisherman travels downstream at full speed to?

The maximum speed that a vessel will achieve relative to ground is its own maximum speed through water plus the speed of the the moving water downstream.


A boat can travel 24 miles downstream in 2 hours and can make the return trip in 3 hours so what is the speed of the boat in still water and the speed of the current?

Whilst travelling downstream the boat travels at V + C mph where V is the speed of the boat in still water and C is the speed of the current. Whilst travelling upstream the speed is V - C mph. The downstream velocity = 24/2 = 12mph = V + C therefore C = 12 - V Velocity (speed) = Distance ÷ Time : therefore Distance = Velocity x Time. As the distance in either direction is the same then, 2(V+C) = 3(V-C) 2V + 2C = 3V - 3C V = 5C : substituting for C as C = 12-V V = 5(12 - V) = 60 - 5V 6V = 60 : V = 10 mph. Therefore, C = 12 - 10 = 2 mph The speed of the boat in still water is 10 mph and the speed of the current is 2 mph.

Related questions

What is the greatest velocity that a boat on a river can attain if the boat's motor moves at 10 km per hr and the river's current is 8 km per hr?

Boat WRT land, downstream 10 + 8 = 18 KMH Boat WRT land, upstream 10 - 8 = 2 KMH Boat WRT water 10 KMH


A badge moves 8km per hour in still water it travels 6km upstream and 6 km downstream in a total time of 2 hours what is the speed of the current?

The speed upstream is B - C where B is the speed of the badge in still water and C is speed of the current The speed downstream is B + C. Velocity = Distance/Time : therefore Time = Distance/Velocity. Time for upstream journey = 6/(B - C) Time for downstream journey = 6/(B + C) BUT Total time for journey = 2 = 6/(B - C) + 6/(B + C) = 12B/(B2 - C2) Therefore 2B2 - 2C2 = 12B : However, B = 8kph so substituting gives, 128 - 2C2 = 96 : 2C2 = 32 : C2 = 16 : C = 4 The speed of the current is 4kph.


What directions do koi fish swim?

Anything with a face should be looking inward and almost never outwards, and with Koi, they ALWAYS go upstream and never downstream.


Does a river travel upstream or down?

By definition all rivers run downstream, with the possible exception of tidal effects where the river meets the sea (as the tide comes in, in some places the water may run "backward" up the river for a usually short distance).


A boat travels 80 feet across a river. The current then pushes the boat downstream 39 feet. How far is the boat from its starting point?

89 ft


What occurs when data travels from the carriers switching facility to the customer?

upstream


Occurs when data travels from the customer to the carriers switching facility?

Downstream


If a boat travels upstream against a 3 mph current and travels 5 hours and the return trip takes 2.5 hours what is the speed of the boat?

Suppose the speed of the boat is x mph. Then upstream, it travels 5 hours at x-3 mph and so covers 5x - 15 miles. When going downstream the boat covers the same distance, at x+3 mph, in 2.5 hours so (5x-15)/(x+3) = 2.5 Multiply through by 2*(x+3): 2*(5x-15) = 5*(x+3) 10x - 30 = 5x + 15 or 5x = 45 giving x = 9 mph.


A motorboat travels 558 km in 6 hours going upstream and 1016 km in 8 ours going downstream What is the rate of the boat in still water and what is the rate of the current?

B = boatspeedC = current speed6 (B-C) = 5588 (B+C) = 1,016Eliminate parentheses:6B - 6C = 5588B + 8C = 1,016Divide both sides of the first equation by 6.Divide both sides of the second equation by 8.B - C = 93B + C = 127Add the equations:2B = 220B = 110 kphSubtract the equations:-2C = -34C = 17 kphThe current is rather speedy, and the boat even speedier ... 68.3 mph in still water ! ! !Suspicious vis a vis the real world, but the math is bullet-proof.


To get to his parents house John must travel at a speed of 60 mph on land and then use a motorboat that travels at a speed of 20 mph in still water John goes by land to a dock and then travels on a?

To get to his parents house John must travel at a speed of 60 mph on land and then use a motorboat that travels at a speed of 20 mph in still water John goes by land to a dock and then travels 138 miles.


A boat travels 20 kms upstream in 6 hrs and 18 kms?

7/12 kmph


A fisherman travels downstream at full speed to?

The maximum speed that a vessel will achieve relative to ground is its own maximum speed through water plus the speed of the the moving water downstream.