Uniform Motion Algebra

System of Equation and Uniform Motion

Applied Math

​Uniform Motion

​Uniform motion is defined as moving at a SPEED that is NOT CHANGING

​Calculate it by using the D = R x T

​ Distance equals Rate x Time

​Follow the STEPS

• ​Step 1: Read the problem

• ​Step 2: Define a variable for the unknown.

• ​Step 3: Make a table

• ​Step 4: Write your equations

• ​Step 5 SOLVE

Multiple Choice

Let's Practice

The two legs of a 432-mile trip took 8 hours. The average speed for the first leg of the trip was 52 miles per hour and the average speed for the second leg of the trip was 60 miles per hour. How long did each leg of the trip take?

• The first leg of the trip took 5 hours and the second leg took 3 hours

• The first leg of the trip took 6 hours and the second leg took 2 hours

• The first leg of the trip took 4 hours and the second leg took 2 hours

• The first leg of the trip took 8 hours and the second leg took 2 hours

​USUsing Elimination!!!!

​Your TURN

​In your Notebook draw and solve the following:

​

​

​Jerry took two buses on the 265-mile trip from Los Angeles to Las Vegas. The first bus averaged 55 miles per hour and the second bus was able to average 50 miles per hour. If the total trip took 5 hours, then how long was spent in each bus?

​Let's do one more

Parker can ride his bike 4 mph faster than Libby. If Parker can travel 30 miles in the same time that Libby can go 15 miles, what speeds are they riding their bikes at?​

Multiple Choice

A cyclist travels 8 mph faster than a walker. The cyclist travels 54 miles in the same time is takes the pedestrian to walk 18 miles. Find the speeds at which they are travelling.

• The Cyclist travels 24 mph and the pedestrian travels 8 mph

• The Cyclist travels 11 mph and the pedestrian travels 8 mph

• The Cyclist travels 10 mph and the pedestrian travels 6 mph

• The Cyclist travels 12 mph and the pedestrian travels 4 mph

Poll

If age is only a state of mind, which category best describes your state of mind right now?

• Cheeky child

• Tormented teenager

• Mad mid-lifer

• Groovy grandparent