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Round-Trip Travel

Round-Trip Travel. Sarah drives into the city to buy a software program at a computer store. Because of traffic conditions, she averages only 15 mi/h. On her drive home she averages 35 mi/h. If the total travel time is 2 hours, how long does it take her to drive to the computer store?

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Round-Trip Travel

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  1. Round-Trip Travel • Sarah drives into the city to buy a software program at a computer store. Because of traffic conditions, she averages only 15 mi/h. On her drive home she averages 35 mi/h. If the total travel time is 2 hours, how long does it take her to drive to the computer store? • Define: Let t = time of Sarah’s drive to the computer store. 2 – t = time of Sarah’s drive home. • Relate:

  2. Round-Trip Travel • Write: 15t = 35(2 – t) 15t = 70 – 35t +35t + 35t 50t = 70 t = 1.4 It took Sarah 1.4 h to drive to the computer store.

  3. Opposite-Direction Travel • Jane and Peter leave their home traveling in opposite directions on a straight road. Peter drives 15 mi/h faster than Jane. After 3 hours, they are 225 miles apart. Find Peter’s rate and Jane’s rate. • Define: Let r = Jane’s rate Then r + 15 = Peter’s rate • Relate:

  4. Opposite-Direction Travel • Write: 3r + 3(r + 15) = 225 3r + 3r + 45 = 225 6r + 45 = 225 - 45 - 45 6r = 180 r = 30 Jane’s rate is 30 mi/h and Peter’s rate is 15 mi/h faster, which is 45 mi/h.

  5. More Practice!!! • Textbook – p. 108 #10 – 14 even, p. 109 #20 – 26 even. • Homework – Worksheet 2.5

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