# applications using rational equations distance rate time answers

Follow • 2. Hillarys lexus travels 30mph faster than Bills harley. Solving a distance, rate, time problem using a rational equation. The figure on the left below represents the triangle formed by the cities on the map. Translate the sentence to get the equation. Recall that the reciprocal The reciprocal of a nonzero number n is 1/n. Work problems often ask us to calculate how long it will take different people working at different speeds to finish a task. of a nonzero number n is 1/n. On the map, Seattle, Portland, and Boise form a triangle. 2. Solve work-rate applications. The algebraic models of such situations often involve rational equations derived from the work formula, W = rt. 7.6 Applications of Rational Equations. Find the rate of the river current. (Notice that the work formula is very similar to the relationship between distance, rate, and time, or $d=rt$.) Answer the question. While traveling on a river at top speed, he went 10 miles upstream in the same amount of time he went 20 miles downstream. Add comment More. The first observation to make, however, is that the distance, rate and time given to us aren't `compatible': the distance given is the distance for only \textit{part} of the trip, the rate given is the speed Carl can canoe in still water, not in a flowing river, and the time given is the duration of the \textit{entire} trip. The algebraic models of such situations often involve rational equations derived from the work formula, $W=rt$. Report 1 Expert Answer Best Newest Oldest. Solve. In the same time that the Bill travels 75 miles, Hilary travels 120 miles. The distance between the cities is measured in inches. In particular, they are quite good for describing distance-speed-time questions, and modeling multi-person work problems. Her time plus the time biking is 3 hours. Try It 7.89. Check. SECTION 11.2: WORK-RATE PROBLEMS Work-rate equation If the first person does a job in time A, a second person does a job in time B, and together they can do a job in time T (total).We can use the work-rate equation: Number Problems. Find there speeds. The distance from Los Angeles to San Francisco is 351 miles. Yes. A negative speed does not make sense in this problem, so is the solution. Solve applications involving uniform motion (distance problems). example: A train can travel at a constant rate from New York to Washington, a distance of 225 miles. 3 Manleys tractor is just as fast as Calendonias. Some of the motion problems involving distance rate and time produce fractional equations. Is 8 mph a reasonable running speed? Solving Work Problems . Write a word sentence. We divide the distance by the rate in each row, and place the expression in the time column. The actual distance from Seattle to Boise is 400 miles. Learning Objectives . Ivan's boat has a top speed of 9 miles per hour in still water. Solve applications involving relationships between real numbers. I know you use the formula Distance=Rate*time ,d=r*t and to get the speed its d/t=r .