Distance FormulaDistance Formulad = r d = r ∙ t∙ t

distance = rate ∙ distance = rate ∙ timetime

Distance FormulaDistance Formula

ddMagic TriangleMagic Triangle

rr tt

Units of MeasureUnits of MeasureDistance Rate Time

Given:Given:r = 12 meters / secondr = 12 meters / second

t = 100 secondst = 100 secondsWhat is the distance?What is the distance?

d = r d = r ∙ t∙ td = 12 meters ∙ 100 secd = 12 meters ∙ 100 sec

sec sec d = 1200 metersd = 1200 meters

Given:Given:d = 156 milesd = 156 milest = 3 minutest = 3 minutes

What is the rate?What is the rate?

d = r d = r ∙ t∙ t156 miles = r ∙ 3 minutes156 miles = r ∙ 3 minutes

52 miles52 miles = r = r minuteminute

3 minutes 3 minutes3 minutes 3 minutes

Given:Given:d = 896 kmd = 896 km

r = 64 km / hourr = 64 km / hourWhat is the time?What is the time?

d = r d = r ∙ t∙ t896 km = 64 km / hour ∙ t896 km = 64 km / hour ∙ t

14 hours = t14 hours = t64 km / hour 64 km / hour64 km / hour 64 km / hour

A plane flew from Seattle to A plane flew from Seattle to Toronto in 4 hours, maintaining a Toronto in 4 hours, maintaining a speed of 50 miles per hour. What speed of 50 miles per hour. What is the air distance between Seattle is the air distance between Seattle

and Toronto?and Toronto? What do we know?What do we know? t = 4 hours r = 50 mpht = 4 hours r = 50 mph

Plug it into the distance formula:Plug it into the distance formula: d = r d = r ∙ t∙ t d = d = 50 miles50 miles ∙ 4 hours ∙ 4 hours hourhour d = 200 milesd = 200 miles

A certain plane flies 1500 miles A certain plane flies 1500 miles in 3 hours. What is the rate in 3 hours. What is the rate

that the plane can fly?that the plane can fly? What do we know?What do we know?

d = 1500 milesd = 1500 miles t = 3 hourst = 3 hours

Plug it into the distance formula:Plug it into the distance formula: d = r d = r ∙ t∙ t 1500 miles = r ∙ 3 hours1500 miles = r ∙ 3 hours 3 hours 3 hours3 hours 3 hours 500 miles = r500 miles = r hourhour

A certain plane needs to fly 180 A certain plane needs to fly 180 km to it’s next city. It averages 45 km to it’s next city. It averages 45 km / hour when it flies. How long km / hour when it flies. How long does it take the plane to get to it’s does it take the plane to get to it’s

destination?destination? What do we know?What do we know? d = 180 kmd = 180 km r = 45 km / hourr = 45 km / hour

Plug it into the distance formula:Plug it into the distance formula: d = r d = r ∙ t∙ t 180 km = 45 km / hour ∙ t180 km = 45 km / hour ∙ t 4 hours = t4 hours = t