Speed, Distance & Time Speed, Distance, Time Calculations

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 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 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 = = 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 = 10 minutes D S T

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 miles in 2. 5 hours? D S T

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

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 is the train traveling? D S T

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 • Distance Traveled = ? D=180 m D S T

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 • Distance Traveled = ? D=40. 8 mi. D S T

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 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 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 • Time = ? T=3. 58 hrs D S T

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 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 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