45.A train leaves Kansas City, Kansas, and travels north at 85 km per hr. Another train leaves
at the same time and travels south at 95 km per hour. How long will it take before they
are 315 km apart?
46.Two steamers leave a port on a river at the same time, traveling in opposite directions.
Each is traveling at 22 mph. How long will it take for them to be 110 mi apart?
47.From a point on a straight road, Marco and Celeste ride bicycles in the same direction.
Marco rides at 10 mph and Celeste rides at 12 mph. In how many hours will they be
15 mi apart?
48.At a given hour, two steamboats leave a city in the same direction on a straight canal. One
travels at 18 mph and the other travels at 24 mph. In how many hours will the boats be
9 mi apart?
49.Two planes leave an airport at the same time, one
flying east, the other flying west. The eastbound
plane travels 150 mph slower. They are 2250 mi
apart after 3 hr. Find the rate of each plane.
50.Two trains leave a city at the same time. One
travels north, and the other travels south 20 mph
faster. In 2 hr, the trains are 280 mi apart. Find
their rates.
51.Two cars start from towns 400 mi apart and travel toward each other. They meet after
4 hr. Find the rate of each car if one travels 20 mph faster than the other.
52.Two cars leave towns 230 km apart at the same time, traveling directly toward one another.
One car travels 15 km per hr slower than the other. They pass one another 2 hr later. What
are their rates?
Brains Busters Solve each problem.
53.Kevin is three times as old as Bob. Three years ago the sum of their ages was 22 yr. How
old is each now? (Hint:Write an expression first for the age of each now and then for the
age of each three years ago.)
54.A store has 39 qt of milk, some in pint cartons and some in quart cartons. There are six
times as many quart cartons as pint cartons. How many quart cartons are there? (Hint:
1 qt 2 pt)
55.A table is three times as long as it is wide. If it were 3 ft shorter and 3 ft wider, it would
be square (with all sides equal). How long and how wide is the table?
56.Elena works for $6 an hour. A total of 25% of her salary is deducted for taxes and insur-
ance. How many hours must she work to take home $450?
57.Paula received a paycheck for $585 for her weekly wages less 10% deductions. How
much was she paid before the deductions were made?
58.At the end of a day, the owner of a gift shop had $2394 in the cash register. This amount
included sales tax of 5% on all sales. Find the amount of the sales.
=
150 CHAPTER 2 Linear Equations and Inequalities in One Variable
rtd
Eastbound 3
Westbound x 3
x- 150
rtd
Northbound x 2
Southbound x+ 20 2
Decide whether each statement is trueor false. See Section 1.4.
64.Graph the numbers -3, -^23 , 0, 2,^72 on a number line. See Section 1.4.
0 7-
1
2
676 10 ... 10 - 4 ...- 3 - 11 7- 9
PREVIEW EXERCISES
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