Motion Problems 2 A man bikes from A to B at 20 km/h. He returns by car at 60 km/h. The bike trip is 2 hours longer than the car trip. How far is it.

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Presentation transcript:

Motion Problems 2

A man bikes from A to B at 20 km/h. He returns by car at 60 km/h. The bike trip is 2 hours longer than the car trip. How far is it from A to B?

Which one?

R X T = D Method Bike Car x + 2 x The distance is always filled in by multiplying the rate and time. 20(x + 2) 60x Distances are equal.

20x+40 = 60x 20(x+2) = 60x -20x 40 = 40x 40 1 = x

A man bikes from A to B at 20 km/h. He returns by car at 60 km/h. The bike trip is 2 hours longer than the car trip. How far is it from A to B?

R X T = D Method Bike Car x + 2 x 20(x + 2) 60x What does x represent? What represents distance?

If x=1, distance is: 60x=6060x=?? 20(x+2)=?? 20(x+2)=60

The answer is: 60 km

Problem #2 on Worksheet 61

Vince bikes for 2 hours at 18 km/h. Then he rides by car for 3 hours. His total distance is 246 km. How fast does the car travel?

Which one?

None of those. It’s this one: The distances add up to the total distance.

R X T = D Method Bike Car 18 x 2 3 The distance is always filled in by multiplying the rate and time. 36 3x3x 246

36+3x = x = x=70 -36

R X T = D Method Bike Car 18 x x3x 246 What does x represent?

Vince bikes for 2 hours at 18 km/h. Then he rides by car for 3 hours. His total distance is 246 km. How fast does the car travel?

The answer is: 70 km/h

Problem #3 on Worksheet 61

Cindy bikes from A to B at 20 km/h. She returns by car at 80 km/h. The bike trip is 3 hours longer than the car trip. How far is it from A to B?

Which one?

R X T = D Method Bike Car x+3 x The distance is always filled in by multiplying the rate and time. 20(x+3) 80x Distances are equal.

20(x+3) = 80x -20x 60 = 60x 60 1=x 20x+60 = 80x -20x

R X T = D Method Bike Car x+3 x 20(x+3) 80x What does x represent?

Cindy bikes from A to B at 20 km/h. She returns by car at 80 km/h. The bike trip is 3 hours longer than the car trip. How far is it from A to B?

The answer is: 80x= 80(1)= 80 km

Problem #4 on Worksheet 61

Judy can bike 2 km/h faster than Linda. They travel in opposite directions for 2 hours. They are then 68 km apart. How fast is each girl traveling?

Which one?

R X T = D Person Judy Linda x+2 x 2 2 The distance is always filled in by multiplying the rate and time. 2(x+2) 2x2x 68

2(x+2)+2x = x+4+2x = 68 4x= 64 4x+4 = x=16

R X T = D Person Judy Linda x+2 x 2 2 2(x+2) 2x2x 68 What does x represent?

x+2= Judy’s rate of speed x+2= x= 16 km/h 18 km/h x= Linda’s rate of speed

THE END