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Lesson 4-8 Rate-time- Distance Problems
D = rt D=distance r= speed t= time
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1. At noon a private plane left Austin for Los Angeles, 2100 Km away, flying at 500 km/h. One hour later a jet left Los Angeles for Austin at 700 km/h. At what time did they pass each other?
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Rate time Distance Plane 500 t 500t Jet 700 t 700(t-1) 2100
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500t (t – 1)=2100 500t t – 700= 2100 +700=+700 1200t = 1400 t= 1h and 20 minute At noon = 13 and 20 minute Or 1:20 P.M
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At 8:00 A. M. the Smiths left a campground, driving at 48 mi/h
At 8:00 A.M. the Smiths left a campground, driving at 48 mi/h. At 8:20 A.M the Garcias left the same campground and followed the same route, driving at 60 mi/h. At what time did they overtake the Smiths?
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Rate Time Distance Smiths 48 mi/h t 48t Garcias 60 mi/h T – 1 3 60(t +1)
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48 t = 60( t - 1/3) 48t = 60t - 20 12t = t= 50 minute The Smiths overtake at 8:50
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