Lesson 4-8 Rate-time- Distance Problems

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Lesson 4-8 Rate-time- Distance Problems

• D rt
• Ddistance 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 - 1 700(t-1)
2100
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• 500t 700(t 1)2100
• 500t 700t 700 2100
• 700700
• 1200t 1400
• 1200 1200
• t 1h and 20 minute
• At noon 12 1 13 and 20 minute
• Or 120 P.M

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• At 800 A.M. the Smiths left a campground,
  driving at 48 mi/h. At 820 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) 3

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• 48 t 60( t - 1/3)
• 48t 60t - 20
• 12t 20 t 50 minute
• The Smiths overtake at 850

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