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12 lis 2015 · Word Problem - Unit Rate / Equivalent Rates (Miles per Hour) Using a ratio table to solve a word problem involving equivalent rates. We find the unit rate and then scale up to find...
With the current: Distance = 8 miles, Time = 2 hours Against the current: Distance = 6 miles, Time = 2 hours. We can use the formula: Distance = Rate × Time. For rowing with the current: 8 = (b + c) × 2. For rowing against the current: 6 = (b – c) × 2. Now we have a system of two equations: 2b + 2c = 8 2b – 2c = 6
Solving for rate and time. In the problem we just solved we calculated for distance, but you can use the d = rt formula to solve for rate and time too. For example, take a look at this problem: After work, Janae walked in her neighborhood for a half hour. She walked a mile-and-a-half total.
When solving these problems, use the relationship rate (speed or velocity) times time equals distance. [latex]r\cdot t=d[/latex] For example, suppose a person were to travel 30 km/h for 4 h. To find the total distance, multiply rate times time or (30km/h)(4h) = 120 km. The problems to be solved here will have a few more steps than described above.
The distance formula: d » distance traveled. r » rate of speed. t » time traveled. This formula is one of the most intuitive. If we take a road trip and travel at an average rate of speed of 60 miles per hour for 12 hours, we can calculate our distance traveled as: d = r • t. d = 60 • 12. d = 720.
Finding unit rates are simple if you remember that the word "per" can be directly translated as divide. Want to find the average speed, in miles per hour? Just divide the miles traveled by the hours.
The formula for distance problems is: distance = rate × time or. d = r × t. Things to watch out for: Make sure that you change the units when necessary. For example, if the rate is given in miles per hour and the time is given in minutes then change the units appropriately.
