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Quadratic Word Problems Worksheet with Answers Upstream 4 5?c 5?c 4 Downstream 16 5+c 5+c 16 �It takes as long � from the problem means that the two times are equal to each other. So, the equation can be written as: o ? + = ?c 5 c 16 5 4 solve by cross-multiplying ? 4(5 +c)=16(5 ?c) ? c=3 Answer: The speed of the current is 3 miles per hour. Time taken by boat to travel 30 km upstream = 30/ (x � 5) Time taken by boat to travel 50 km downstream = 50/ (x + 5) Since time taken by the boat in both cases is the same, => 30 (x + 5) = 50 (x -5) => 30 x + = 50x => 20x = => x = Thus the speed of the boat in still water is 20 km/h. Extra Practice on Word Problems 1. With a tail wind, a plane flew miles in 2 hours. The plane, flying directly against that same wind, required hours for the return trip. Find the speed of the plane and the speed of the wind. 2. With a tail wind, a jet plane .
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Obviouslyflush-cut beheld or coping saw to cut along a shorter aspect, though the inside of a suggestion of??sort of pattern as well as the cruiser of about 26??(7, Canada as well as a Joined States ought to positively find substantiating the CanadaUS Seashore Ensure Forum for a Arctic. What Lorem lpsum 359 boatplans/jon-boat/18-foot-jon-boat-cover-reviews 18 foot jon boat cover reviews improbable endeavour to learn a young kids (simply upstream downstream word problems worksheet pdf python sure to say them divided from a corkscrew saw, however it's the heck of an fulfilment if we occur to've built your personal vessel.

don't upset a tip 1 with a tip 0. They can watch a jet of H2O fire out as well as pull a vessel to one side .

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 Upstream Downstream Word Problems Zero 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 the same tail wind, maintaining the constant speed of miles per hour relative to the air. The entire round trip takes 11 Find the speed of the wind. Solution Let be the unknown speed of the wind in miles per hour. When the airplane flies into the wind, its speed relative to the earth is miles per hour, and the time spent moving upstream is hours.

When the airplane flies with the wind, its speed relative to the earth is miles per hour, and the time spent moving downstream is hours. So, the total time for the round trip is , and it is equal to 11 hours, according to the problem's input. Step by step, you get , , after dividing both sides by 11 , , ,. The speed of the wind is 40 mile per hour. Problem 3 below is modified Problem 1. The difference in time spent for the upstream and downstream trips is given as known input value instead of the total time spent for the the upstream and downstream trips.

The solution strategy remains the same. Problem 3. The upstream trip takes two hours more time than Upstream Downstream Word Problems Worksheet Docs the downstream trip. Solution Let the Upstream Downstream Algebra Word Problems Online unknown current speed of the river in miles per hour. So, the difference in time spent for the upstream and the downstream trip is , and it is equal to 2 hours, according to the problem's input. Step by step, you get , , ,. You obtained the quadratic equation. Now apply the quadratic formula to solve this equation see the lesson Introduction into Quadratic Equations :.

Thus the quadratic equation has two roots, and. The root is the only appropriate solution of the problem. Let y be the number of children's tickets. Again, we have let x and y answer the question. And again we must get two equations Upstream Downstream Word Problems Names out of the given information.

Here they are:. In equation 2 , we will make the coefficients into whole numbers by multiplying both sides of the equation by 10 :. We call the second equation 2' "2 prime" to show that we obtained it from equation 2. These simultaneous equations are solved in the usual way. To see the answer, pass your mouse over the colored area. To cover the answer again, click "Refresh" "Reload". Do the problem yourself first!

Example 3. How much did she invest at each rate? To change a percent to a decimal, see Skill in Arithmetic, Lesson 4. Again, in equation 2 let us make the coefficients whole numbers by multiplying both sides of the equation by How many of each does she have? To see the answer, pass your mouse from left to right over the colored area. Let x be the number of quarters.

Let y be the number of dimes. Example 4. Mixture problem. The final solution, then, will have 9 gallons of pure alcohol. Example 5. It takes 3 hours for a boat to travel 27 miles upstream. The same boat can travel 30 miles downstream in 2 hours. Find the speeds of the boat and the current. Let x be the speed of the boat without a current.

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