Username: Password: Register in one easy step! Reset your password if you forgot it. Word Problems: Travel and Distance Word. Solvers Solvers. Lessons Lessons. Answers archive Answers. This Lesson Selected problems from the archive on the boat floating Upstream and Downstream was created by by ikleyn : View SourceShow About ikleyn : Selected problems from the archive on the boat floating Upstream and Downstream This lesson is a collection of selected problems from the archive of this site on a boat floating Upstream and Downstream Problem 1 A canoe traveled Downstream with the current and went a distance of 15 miles in three hours.
On upstream downstream word problems worksheet teams return trip, the canoe traveled Upstream against the current. It took 5 hours to make the return trip.
Find the rate of the current. It is the canoe speed in still water. It is the current speed. Problem 2 It took an hour for a boat to go six miles upstream. Using the same path, the boat took only 45 minutes to return. What was the speed of the boat in still water? What was the speed of the current? Thus you got the boat's speed in still water. It is the speed of the current. Problem 3 A boat takes 3 hours to go 12 miles upstream.
It can go 18 miles downstream in the same time. Find the rate of the current and the rate of the boat in still water. Hint: Because the current pushes the boat when it is going downstream, the rate of the boat downstream is the sum of the rate of the boat and the rate of the current.
The current slows down the boat when it is going upstream, so the rate of the boat upstream is the difference of the rate of the boat and the rate of the current. It is the boat speed relative to the river banks, when the boat moves upstream. As they explained in the "Hint" section, this speed is the difference of the boat speed in Upstream Downstream Word Problems Worksheet Free still water u and the current speed v.
Again, it is the speed of the boat relative to Upstream Downstream Algebra Word Problems Github the river banks, when the boat moves downstream. As they explained in the "Hint" section, this speed is the sum of the boat speed in the still water upstream downstream word problems worksheet teams and the current speed v.
Thus the speed of the boot in still upstream downstream word problems worksheet teams is 5 mph. The rate of the current is 1 mile per hour. The rate of upstream downstream word problems worksheet teams boat in still water is 5 miles per hour.
Problem 4 Renee rows a boat downstream for 27 miles. The return trip upstream took 24 hours longer. If upstream downstream word problems worksheet teams current flows at 4 mph, how fast does Renee row in still water? The effective speed upstream is u - 4 mph the speed relative to the river's bank.
The time spent moving downstream is hours. The time spent moving upstream is hours. Renee's boat speed in still upstream downstream word problems worksheet teams is 5 mph. My other lessons on Travel and Distance problems in this site are - Travel and Distance problems - Travel and Distance problems for two bodies moving in opposite directions - Travel and Distance problems for two bodies moving in the same direction catching up - Upstream downstream word problems worksheet teams fractions to solve Travel problems - Wind and Current problems - More problems on upstream and downstream round trips - Wind and Current problems solvable by quadratic equations - Unpowered raft floating downstream along a river - Selected problems from the archive on a plane flying with and against the wind - Selected Travel and Distance problems from the archive - Had a car move faster it would arrive sooner - How far do you live from school?
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Denote the unknown things as the variables like x, y, z, a, b,. Translate the given word problem into mathematical statements. Form the linear equations in one variable by using the conditions provided in the question. Solve the unknown parameters from the equation. Verify the condition with the obtained answer ad cross check whether it is correct or not.
Linear Equations Examples with Answers Example 1. Solution: Let l be the length of the swimming pool, w be the width of the swimming pool. Example 3. The sum of three consecutive even numbers is What are the numbers? According to the question, the sum of consecutive even numbers is Hence, the three consecutive even numbers are 40, 42, Example 4.
When five is added to three more than a certain number, the result is What is the number? Solution: Let us take the number as x. According to the question, Add 5 to the three more than a certain number. So, the number is But in fact, problems in this lesson differ from those of the above referred lesson. The difference is in the nomenclature of the input data.
This difference produces the difference in the solution strategy. Problem 1. Motorboat moving upstream and downstream on a river A motorboat makes a round trip on a river of 45 miles upstream and 45 miles downstream, maintaining the constant speed 12 miles per hour relative to the water. The entire round trip takes 8 hours. What is the speed of the current? Solution Let be the unknown current speed of the river in miles per hour.
When the motorboat moves upstream, its speed relative to the bank of the river is miles per hour, and the time spent moving upstream is hours. When the motorboat moves downstream, its speed relative to the bank of the river is miles per hour, and the time spent moving downstream is hours.
So, the total time upstream and downstream is , and it is equal to 8 hours, according to the problem's input.
This gives an equation. To simplify the equation, multiply both sides by and collect like terms. Step by step, you get , , after dividing both sides by 8 , , ,. The speed of the current is 3 mile per hour. Problem 2. Airplane flying into the wind and with the wind An airplane makes a trip of miles long into the wind and miles back with Upstream Downstream Word Problems Quotes the same tail wind, maintaining the constant speed of miles per hour relative to the air.
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ASTC formula. All silver tea cups. All students take calculus. All sin tan cos rule. Trigonometric ratios of some negative angles. Trigonometric ratios of 90 degree minus theta. Trigonometric ratios of 90 degree plus theta. Trigonometric ratios of degree plus theta. Trigonometric ratios of degree minus theta. Trigonometric ratios of angles greater than or equal Upstream Downstream Word Problems Worksheet Pdf Android to degree.
Trigonometric ratios of complementary angles. Trigonometric ratios of supplementary angles. Trigonometric identities. Problems on trigonometric identities. Trigonometry heights and distances. Domain and range of trigonometric functions. Domain and range of inverse trigonometric functions. Solving word problems in trigonometry.
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Construction of angles - I. Construction of angles - II. Construction angle bisector. Construction of perpendicular. Construction of perpendicular bisector. Geometry dictionary. Geometry questions. Angle bisector theorem. Basic proportionality theorem.
Coordinate geometry formulas. Distance between two points. Different forms equations of straight lines. Point of intersection. Slope of the line. Perpendicular distance. Area of triangle. Area of quadrilateral.
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