# Problem Solving In Motion

Barring traffic accidents, cars would be expected to constantly travel at 70 mph.

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Method: variables given: r = 150 fps, t = 300 s (notice the conversion from minutes to seconds to match the rate units given). Substitute known variables and solve: d = 1.5(300) = 450 Given our solution, the bug will travel 450 feet in 5 minutes. The formula for uniform motion problems is d = rt, which means distance is equal to rate times time.

Sometimes, uniform motion problems are complex, involving more than one item in motion. Convert 1.6 hours into hours and minutes to get 1 hour and 36 minutes. Convert 1.3 hours into hours and minutes and get 1 hour and 20 minutes (rounded). You must be given two of these variables to solve a uniform motion problem.

At 10 am another car (B) started traveling from the same point at 60 mph in the same direction as car (A). Two trains, traveling towards each other, left from two stations that are 900 miles apart, at 4 pm.

If the rate of the first train is 72 mph and the rate of the second train is 78 mph, at whatt time will they pass each other? She stopped for lunch then drove for another 3 hours at a rate that is 10 mph higher than the rate before she had lunch.

Lastly, the time duration the two trains traveling are equal. We let be the travel time of each plane (remember, they are equal).

Since the distance is the product of the rate and the time, the distances traveled by the east-bound and west-bound train is and respectively. The second problem is just almost the same as the first problem.It would be extremely unexpected for a car to be able to travel down a street through the middle of a town without having to alter its speed any.Now that you understand what uniform motion is, how do you solve uniform motion problems?This is the second part of the Solving Motion Problems Series, a part of the Math Word Problem Solving Series.In the first part, we have learned that , where is the distance traveled by an object, is the rate, and is the time. One train is traveling east at an average speed of 90 kilometers per hour, while the other train is traveling west an average speed of 120 kilometers per hour.Also, remember that sometimes there will be additional steps required after your solution is found. Look for things that are the same and always look for those variables to determine what you know and what you need to find.Don't forget to format your answer in terms of the problem. We have over 200 college courses that prepare you to earn credit by exam that is accepted by over 1,500 colleges and universities.To solve uniform motion problems, you will be given two of the variables mentioned and will need to use algebraic methods to solve for the third.If you aren't given two variables, you can't solve uniform motion problems. Now, just substitute the known values into the formula and solve.How long will it take for a car traveling at 30 mph to travel 125 miles? 125 = 30t Now divide both sides by 30 and we'll get: t = 4.17 Given our solution, it will take 4.17 hours to travel the distance.At a rate of 1.5 fps (feet per second), how far will a bug travel in 5 minutes?