In this presentation, you will learn how to solve problem number 5 which involves Rate, Time,and Distance. You will solve this problem by using the.

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Presentation transcript:

In this presentation, you will learn how to solve problem number 5 which involves Rate, Time,and Distance. You will solve this problem by using the Five Step Plan. You will also use a Chart and an Equation to solve the problem.

Two jets leave Denver at 9:00 A.M, one flying east at a speed of 50km/h greater than the other, which is traveling west. At 11:00 A.M. the planes are 2,500 km apart. Find their speeds.

In order to solve this problem, you must first understand the Five Step Plan-which is Explore, Plan, Solve, Check, and Write the Answer. Now that you know the Five Step Plan we can try to solve the problem.

Step 1: Explore- What does the problem ask for? We must find the speeds of both planes- the one traveling east as well as the one traveling west.

Step 2: Plan- How can we solve the problem? To solve the problem, we can use a chart like the one below. RateTimeDistance East x (x+50) West x 2 2x

Step 3: Solve- Solve the problem using an equation. The equation is 2(x+50)+2x=2500. This is the equation because we must add each of the planes’ distances to get their speeds. 2(x+50)+2x=2500 2x+100+2x=2500 4x+100=2500 4x/4=2400/4 x=600

Step 4: Check- We can check to see if we got the correct answer. To check our answer, we can substitute x with 600 and see if the equation works. *2(x+50)+2x=2500* 2(600+50)+2(600)= = =2500 Since 2500=2500, the equation works.

Step 5: Write the Answer- Now that we know the solution, we can write it in the form of a sentence. Since x represents the plane traveling west and x=600, then the plane traveling east equals x+50 or , which equals 650. The speed of the plane traveling east is 650 km/h and the speed of the plane traveling west is 600km/h.