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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.