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What is the rate of the river's current if a tug tows a barge 24 miles up a river at 10 miles per hour and returns down the river at 12 miles per hour The trip took 5 and a half hours?
Assuming the tug speed is relative to the river flow and is constant over each trip, and the river flows at the same constant rate during the trips, then: Let the flow rate down river be x mph Then the land speed when going upriver is 10 - x mph and the land speed when going down river is 12 + x mph This gives the total time for the journeys: time = distance/speed → 5½ hours = 24 miles/(10 - x)mph + 24 miles/(12 + x)mph → 11/2 = 24(12 + x + 10 - x)/(10 - x)(12 + x) → 11/2 = 24×22/(120 - 2x - x²) → 120 - 2x - x² = 24×22×2/11 → x² + 2x - 120 + 96 = 0 → x² + 2x - 24 = 0 → (x - 4)(x + 6) = 0 → x = 4 or -6 → The river is flowing at 4 mph down the river or 6 mph up the river. If the river is non-tidal, then the river is flowing at 4 mph down the river. (In river terms, up is towards the source of the river, down is towards the mouth of the river, and for a tidal river, eg the Thames between Richmond and its mouth, the current can be flowing up or down the river - the rate will not be constant, but for a period of time whilst the tide is flowing in one direction can be considered to be constant.)
What river divide US in half?
mississippi river
Mouth Part of a river?
The mouth part of a river is called a delta. It is the large silty area at the mouth of a river at which the river spills into different slow flowing channels.
River found in the Old Testament?
River Nile and the Jordan.
River found in the old testament what is it called?
It is the river Nile. and Jordan.
Was Jesus floated down the river as a baby?
No, the story of Jesus being floated down the river as a baby is not part of traditional Christian beliefs. In the Bible, Jesus was born in Bethlehem and later traveled to Egypt to escape King Herod's persecution.
What was the name of the river in which Kunti floated her son by Surya?
The Ashwanadi river which is a tributary of the Ganges.
The longest river in the united state floated in this state?
Mississippi
What baby floated down the nile river?
it is the riga baby
Where did Jacques Marquette traveled?
he traveled from France to Mississippi River
Where did BCs gold come from?
BC's gold originally came from Quesnel river and floated downstream to caribou river.
A group of 48 settlers floated down the Ohio River on a flatboat named the?
The Mayflower..
Who floated moses done the nile?
The mother of Moses put him in a basket, and out him in the river Nile.
How did the wagons cross the river?
The wagons were made of wood and floated behind the horses if it was nessary.
What is the name of the river the amerindians traveled on?
it is precisley THE ORINCO RIVER
Which river did the Vikings traveled to get to urakaine?
Danube.
Who Traveled the St Lawrence River?
Cartier
