Big Tam drove from Glenrothes to London at a steady speed of 60km/h. Speed, Distance, Time DISTANCE Big Tam drove from Glenrothes to London at a steady speed of 60km/h. After 1 hour,he had driven 60km After 2 hours,he had driven 120km After 3 hours,he had driven 180km After 5 hours,he had driven 300km D = S x T Distance = Speed x Time Rule?

EXAMPLE 1 Billy runs at a steady speed of 4 metres per second for 55 seconds. How far has he travelled? Billy runs at a steady speed of 4 metres per second for 55 seconds. How far has he travelled? D = S x T D = 4 x 55 D = 220 m

EXAMPLE 2 A boat travels at a steady speed of 12km/h for 8 hours How far has it travelled? A boat travels at a steady speed of 12km/h for 8 hours How far has it travelled? D = S x T D = 12 x 8 D = 96 km

D = S x T D = 40 x 3.5 D = 140 miles EXAMPLE 3 A cyclist cycles for 3½ hours at an average speed of 40 miles per hour How far has she travelled? A cyclist cycles for 3½ hours at an average speed of 40 miles per hour How far has she travelled? D = S x T D = 40 x 3.5 D = 140 miles

He then travels on to Aberdeen. The 100 mile journey takes 2 hours. AVERAGE SPEED Finally, he drives to Edinburgh.It takes 4 hours to travel a distance of 180miles. Jim drove from Glasgow to Inverness, a distance of 180 miles. It took him 3 hours. He then travels on to Aberdeen. The 100 mile journey takes 2 hours. His AVERAGE SPEED for the journey is 60mph His AVERAGE SPEED for the journey is 50mph His AVERAGE SPEED for the journey is 45mph S = D T RULE? Speed = Distance Time

EXAMPLE 1 Billy runs the 400 metres at his school sports day in 80 seconds.What was his average speed for the race? Billy runs the 400 metres at his school sports day in 80 seconds.What was his average speed for the race? S = D T S = 400 80 S = 5 m/s

EXAMPLE 2 Billy cartwheels from Glasgow to Edinburgh – a distance of 48 miles- in 12 hours. Calculate his average speed ? Billy cartwheels from Glasgow to Edinburgh – a distance of 48 miles- in 12 hours. Calculate his average speed ? S = D T S = 48 12 S = 4 mph

EXAMPLE 3 Superbilly flies from Earth to the planet of Wengaria. It takes him 20 hours, and is 14000 miles away. Find his average speed. SB SB S = D T SB SB SB SB SB SB SB SB SB SB SB Wengaria < Earth14000 S = 14000 20 S = 700mph

TIME Last year, he had been chased for 240 miles at an average speed of 60mph His brother Billy had been chased for 140 miles at an average speed of 70mph. He was chased for 150 miles, and his average speed was 50mph.. Jim has been a naughty boy, and is being chased by the police. The chase lasted for 3 hours Time = Distance Speed RULE? T = D S This chase lasted for 4 hours This chase lasted for 2 hours

D T= S 800 T = 4 T = 200seconds EXAMPLE 1 Billy runs the 800 metres at his school sports day in an average speed of 4 m/s.How long did it take him? T= D S T = 800 4 T = 200seconds

D T= S 24000 T = 3000 T = 8 minutes EXAMPLE 2 Says Billy Teacher Knows Billy parachutes from a height of 24000 feet. He falls at a speed of 3000 feet per minute. How long does it take him to reach the ground? T= D S T = 24000 3000 T = 8 minutes Best Teacher Billy Says Knows

D T= S 1800 T = 450 T = 4 hours EXAMPLE 3 My hero! Grrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrr!!! No problem, ma’am. It’s what I do My hero! Thank you SuperBilly SuperBilly is flying to save a lady falling from a building. He is flying at 450mph, and the building is 1800 miles away. How long will it take him to reach the lady? T= D S SB SB SB SB SB SB SB SB SB SB SB SB SB SB SB SB SB SB T = 1800 450 T = 4 hours