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This collection of rate-time-distance problems presents real-life scenarios involving motion and time calculations. Explore how a river boat's upstream and downstream journey, Pam’s jogging route, Sharon's road trip at varying speeds, and an elevator's journey can be analyzed and solved using the fundamentals of rate, time, and distance. Each problem requires you to carefully set up equations based on the speeds and time spent, allowing for a comprehensive understanding of motion in different contexts. Great for students and enthusiasts alike!
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1. A river boat paddled upstream at 12 km/h, stopped for 2 hours of sightseeing, and paddled back at 18 km/h. How far upstream did the boat travel if the total time for the trip, including the stop, was 7 hours?
2. Pam jogged up a hill at 6 km/h and then jogged back down at 10 km/h. How many kilometers did she travel in all if her total jogging time was 1 hours and 20 minutes?
3. Sharon drove for part of a 150 km trip at 45 km/h and the rest of the trip at 75 km/h. How far did she drive at each speed if the entire trip took her 2 hours and 40 minutes?
4. An elevator went from the bottom to the top of a tower at an average speed of 4 m/s, remained at the top for 90 seconds, and then returned to the bottom at 5 m/s. If the total elapsed time was 4.5 minutes, how high is the tower?