# LESSON2 - Equations using to solve real-world problem

**Some problems contain two or more unknown quantities. To
solve such problems, first decide which unknown quantity the variable will represent. Then express the other unknown quantity or quantities in terms of that variable.**

1) ** ** **The length of a rectangle is 6 in. more than its width. The perimeter of the rectangle is 24 in. What is the length of the rectangle?**

**2) The width of a rectangle is 2 cm less than its length. The perimeter of the rectangle is 16 cm.
What is the length of the rectangle?**

**3) The sum of three consecutive integers is 147. Find the integers.**

**4) The sum of three consecutive integers is 48. Let x = the
first integer. Which equation can be solved to find x?**

**5) A train leaves a train station at 1 p.m. It travels at an average rate of 60 mi/h. A high-speed train
leaves the same station an hour later. It travels at an average rate of 96 mi/h. The second train follows the same route as the first train on a track parallel to the first. In how many hours
will the second train catch up with the first train?**

**6) Noya 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?**

**7) 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.**