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Word problems that lead to simultaneous equations. Examples - A complete course in algebra

Table of Contents Home. Same time problem. Example 3. Same time problem : Upstream-Downstream. When a boat travels in the same direction as the current, we say that it is traveling downstream. Thus if b is the speed of the boat in still water, and c is the speed of the current, then its total speed is. The upstream downstream algebra word problems in of a boat in still water is 30 mph.

It takes the same time for dpwnstream boat to travel 5 miles upstream as it does to travel 10 miles downstream. Find the speed of the small two person pontoon boats james. The key to this type of downstreaam is same time. That will give the equation. Now, speed, or velocityis distance divided by time -- so many miles per hour:.

Problem 5. If the boat travels 8 miles downstream in the same time it takes to travel 4 miles upstream, what upstream downstream algebra word problems in the speed of the current?

To see the equation, pass your mouse over the colored area. To cover the answer again, click "Refresh" "Reload". But do the problem yourself first! Problem downsfream. Small two Algebra Upstream Downstream Problems Free person pontoon boats james 7. If train A travels miles in the same time train B travels miles, what are the speeds of the two trains? Let x be the speed of train A. Problem 8. If the train covers problema Upstream Downstream Algebra Word Problems To in the same time the car covers 80 miles, Upstream Downstream Word Problems Zero what is the speed of each of them?

Let x be the speed of the train. Example 4. Total time problem. Katrina drove upstreaam car to Boston at a speed of kph kilometers per hour. She drove back at 75 kph. The total driving time was 7 hours. How far away was Boston? Problem 9. You have exactly h hours at your disposal.

How far from home can you take a bus that travels a miles an hour, so as to return home in time if downstram walk back at the rate of b miles an hour? Example 5. Job problem. Algeebra can do a job in 3 hours, while it takes Robert 2 hours. How long will it take them if they work together? The upstream downstream algebra word problems in to this type of problem is: What fraction of the job gets done in one hour?

For example, if a job takes 3 hours, then in one hour, will get. In general, if a job takes x hours, then in one hour, will get. So, let x answer the question. Let x be how long will it take them if they work. Then is that fraction of the job that gets done in one hour. For in one hour, Raymond does of the job, and Robert. Since xor its reciprocalis already isolated on the left, simply add the fractions on the right:.

Problem Carlos can do a certain job in three days, while it takes Alec six days. If they work together, how long will it take them? If Jane can do a certain job in 6 hours, but it takes Ana only 4 hours, how long will it take them if they work together?

Two people working together can complete a job in six hours. If one of them works twice as fast as the other, how long would it take the faster one working alone? Then the other takes 2 x. Next Lesson: Radicals: Rational and irrational numbers. Please make a donation to keep TheMathPage online. E-mail: themathpage yandex. Table of Contents Home Lesson 25, 2nd Level. Word problems that lead to equations with fractions Back to Level 1 Same time problem Total time problem Job problem Example 3.

First, let us explain the meaning of "upstream" and "downstream. Distance upstream Speed upstream. Distance downstream Speed downstream. Let x be the speed of the current. Then according to the problem :.

Time upstream. Time downstream. Train A's small two person pontoon boats james. Train B's time. A's distance A's speed. B's distance B's speed. Train's time. Car's time. Train's distance Train's speed. Car's distance Car's speed. Lesson 24 of Arithmetic. The LCM is 6 x. Here is the cleared equation:.

Investment problem. The salmon's speed in still water is 8. What is the rate of the canoe in still water and the rate of the current? What is the rate of the current? Again, in equation 2 let us make the coefficients whole numbers by multiplying both sides Upstream Downstream Algebra Word Problems Rights of the equation by Solvers Solvers. These simultaneous equations are solved in the usual way.
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Firstly the lot will rely upon where we reside (planning permissions compulsoryas well as a formula have been so pleasing we will not ever wish them to go wherever tighten to the cylinder or pool. Bonaventure College. Some-more details this time.

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