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 = 25miles • Time = 10minutes D S T Let’s Try It! • Speed = ? • Distance = 15km • Time = 8min. 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 = 39m • Time = 20sec D S T Your Turn! • Speed = ? • Distance = 235m • Time = 120sec D S T Your Turn! • If a train travels 1500m in 250sec, 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 = 12m/s • Time = 15s • Distance Traveled = ? 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 S T Your Turn! • Speed = 12mi./hr. • Time = 3.4 hrs • Distance Traveled = ? 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 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 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 = 9•25 hours = 9 hours 15 mins T Answer: It took 9 hours 15 minutes Let’s Try It! • Distance = 251 miles • Speed = 70 mi/hr • Time = ? D S T Your Turn! • Distance = 235 km • Speed = 42km/hr • Time = ? 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? 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? D S T