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Question

A bus leaves a bus station at 9:00 am and travels on the Eastbound Highway. A second bus leaves the same bus station 45 minutes later and travels in the same direction on the same highway at a speed of 20 kilometers per hour faster than the first bus. The second bus catches up with the first bus at 12:00. How fast was each bus traveling? (Include units in your answer.)

B. Define variables to represent the unknowns and setup the necessary equations to answer the question.

4. The value of a car decreases linearly with time. The car was bought new for $62,000 and had a value of $41,000 after 6 years.

A. [4 pts] Create the equation that models this problem. Let V(t) be the value of the car at time t years after it was bought.

B. [3 pts] Find its value 11 years after it was bought. Use the equation you created in Part A above.

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Answer 1

First question: distance is the same. Time is 3 hours for first person and 2.25 hours for the second person. 3r = 2.25(r + 20) solve for r