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Uniform Motion and Consecutive Integers Problems

This worksheet includes problems on uniform motion and finding consecutive integers, allowing students to practice their equation-solving skills.

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Uniform Motion and Consecutive Integers Problems

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  1. Warm Up Define a variable, write an equation and solve. 1. The sum of three consecutive integers is 117. Find the integers. 2. The length of a rectangular garden is 6 less than three times the width. If you have 44 yards of fencing, find the dimensions of the garden.

  2. Uniform Motion Equal Distances

  3. Objective • TSWBAT manipulate the equation D=rt to find uniform motion.

  4. Uniform Motion: when an object moves at a constant rate. Rate x Time = Distance R x T = D

  5. Catch Up

  6. A group of campers and one group leader left a campsite in a canoe. They traveled at an average rate of 10 km/h. Two hours later the other group leader left the campsite in a motorboat. He traveled at an average rate of 22 km/h. How long did the motorboat travel in order to with the first group? catch up

  7. Carl leaves his house on a bicycle at 9:30 am and averages 5 mph. His wife, Karen leaves at 10:00 am, following the same path and averaging 8 mph. How long will it take for Karen to catch up with Carl.

  8. There and Back Polly

  9. Jessica rides out into the country at a uniform rate of 30 mph. She rests for 2 hours and then rides back at 20 mph. She is gone for 5 hours. How far did she go?

  10. Bill drove into town to go to the bank. On his way there, he drove 40 mph. On his way home, he drove 20 mph. His whole trip took 2 hours. How long did his trip to the bank take?

  11. AssignmentWorksheet

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