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Speed, Distance & Time Speed, Distance, Time Calculations Speed, Distance & Time Speed, Distance, Time Calculations

The objective of this lesson is to be able to use the correct formulas The objective of this lesson is to be able to use the correct formulas to calculate speed, distance or time.

Reminder: How to change minutes into a decimal 15 mins = 0 • 25 Reminder: How to change minutes into a decimal 15 mins = 0 • 25 hour So: 3 hours 15 mins = 3 • 25 hours 30 mins = 0 • 5 hour So: 7 hours 30 mins = 7 • 5 hours 45 mins = 0 • 75 hour So: 2 hours 45 mins = 2 • 75 hours

The 3 formulas for Speed, Time & Distance: Distance Speed = Time Solving for The 3 formulas for Speed, Time & Distance: Distance Speed = Time Solving for Speed Time = Distance Speed Solving for Time Distance = Speed x Time Solving for Distance D Remember them from this triangle: S T

A windsurfer travelled 28 km in 1 hour 45 mins. Calculate his speed. Speed A windsurfer travelled 28 km in 1 hour 45 mins. Calculate his speed. Speed = = Distance Time 28 1 • 75 D S T 1 hour 45 mins = 16 km/h Answer: His speed was 16 km / hour

Let’s Try It! • Speed = ? • Distance = 25 miles • Time Let’s Try It! • Speed = ? • Distance = 25 miles • Time = 10 minutes D S T

Let’s Try It! • Speed = ? • Distance = 15 km • Time Let’s Try It! • Speed = ? • Distance = 15 km • Time = 8 min. D S T

Let’s Try It! • What is the speed of a car that traveled 150 Let’s Try It! • What is the speed of a car that traveled 150 miles in 2. 5 hours? D S T

Your Turn! • Speed = ? • Distance = 39 m • Time = Your Turn! • Speed = ? • Distance = 39 m • Time = 20 sec D S T

Your Turn! • Speed = ? • Distance = 235 m • Time = Your Turn! • Speed = ? • Distance = 235 m • Time = 120 sec D S T

Your Turn! • If a train travels 1500 m in 250 sec, how fast Your Turn! • If a train travels 1500 m in 250 sec, how fast is the train traveling? D S T

A salesman travelled at an average speed of 50 km/h for 2 hours 30 A salesman travelled at an average speed of 50 km/h for 2 hours 30 mins. How far did he travel? Distance = Speed x Time = 50 x 2 • 5 D S T 2 hour 30 mins = 125 km Answer: He travelled 125 km

Let’s Try It! • Speed = 12 m/s • Time = 15 s • Let’s Try It! • Speed = 12 m/s • Time = 15 s • Distance Traveled = ? D=180 m D S T

Let’s Try It! • Kiarra walks to school in the morning. It takes her Let’s Try It! • Kiarra walks to school in the morning. It takes her 12 minutes to get to school when she walks at a speed of 3 miles per hour. How far does Kiarra live from school? D=0. 6 mi. D S T

Your Turn! • Speed = 12 mi. /hr. • Time = 3. 4 hrs Your Turn! • Speed = 12 mi. /hr. • Time = 3. 4 hrs • Distance Traveled = ? D=40. 8 mi. D S T

Your Turn! • Jacob rides his bike to school. When he pedals at a Your Turn! • Jacob rides his bike to school. When he pedals at a speed of 4 meters per second, it takes him 9 minutes to get to school. How far does Jacob live from school? D=2160 m D S T

Your Turn! • When Chris takes the bus to school, it takes him 15 Your Turn! • When Chris takes the bus to school, it takes him 15 minutes to get to school. If the bus is traveling at a speed of 25 miles per hour, how far does Chris live from the school? D=6. 25 mi. D S T

A train travelled 555 miles at an average speed of 60 mph. How long A train travelled 555 miles at an average speed of 60 mph. How long did the journey take? Distance Time = Speed D S = 555 60 = T 9 • 25 hours = 9 hours 15 mins Answer: It took 9 hours 15 minutes

Let’s Try It! • Distance = 251 miles • Speed = 70 mi/hr • Let’s Try It! • Distance = 251 miles • Speed = 70 mi/hr • Time = ? T=3. 58 hrs D S T

Your Turn! • Distance = 235 km • Speed = 42 km/hr • Time Your Turn! • Distance = 235 km • Speed = 42 km/hr • Time = ? T=5. 59 hrs D S T

Your Turn! • Beth is part of the school track team. She runs the Your Turn! • Beth is part of the school track team. She runs the 500 meter at a speed of 7 meters per second. What was her final time at the end of the race? T=71. 42 s D S T

Your Turn! • Erica decides to walk home from school with her friends. If Your Turn! • Erica decides to walk home from school with her friends. If her house 1540 meters from school and she walks at a speed of 1. 5 meters per second, how long will it take her to walk home? How many minutes would that be? T=1026. 66 s or T=17. 11 min D S T