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4.8 Rate-Time-Distance Problems. Objective : To solve some word problems involving uniform motion.
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4.8 Rate-Time-Distance Problems • Objective: To solve some word problems involving uniform motion. • Warm – up: Use the distance formula to answer the following.1) What is the distance traveled in 6 h at 60 km/h?2) What is the average rate of speed if 275 km are traveled in 5.5 h?3) How long does it take to travel 288 km at an average rate of 72 km/h?
4.8 Rate-Time-Distance Problems Complete each with an expression involving the given variable. Sue and Carol start bicycling toward each other at the same time from homes 9 miles apart. When they meet, Carol has traveled c mi. Sue has traveled ________ mi. • Bill runs at a rate of r mi/h. Will runs twice as fast. Will’s rate is ________ mi/h. • Joshua rides his bike to school in k min. His sister Rachel takes 15 min longer to walk. She spends _______ min walking to school.
4.8 Rate-Time-Distance Problems Motion in opposite directions. Mary Beth and Michael leave school traveling in opposite directions. Michael is walking and Mary Beth is biking, averaging 6 km/h more than Michael. If they are 18 km apart after 1.5 h, what is the rate of each? • Bicyclists Brent and Jane started at noon from points 60 km apart and rode toward each other, meeting at 1:30pm. Brent’s speed was 4km/h greater than Jane’s speed. Find their speeds.
4.8 Rate-Time-Distance Problems • Homework: • Pg. 170Written Exercises #1, 5, 7Pg. 171Mixed Review #1 – 8