Solving Word Problems With Equations Of One Degree And One Unknown Worksheet With Answers Page 9
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2035X
=
15X +10
Is equal
Distance the car travels
Distance the bike travels when they meet
to
Solve the equation: 35X = 15X + 10
!
20X = 10
X = 1/2
The problem asked us to find the time each traveled and we called that X. So,
our conclusion is that each traveled one half hour when they meet.
PROBLEM SOLVING
1. If Jack walked 5 miles in 1 hour and 15 minutes, what was his rate of walking in
miles per hour
a)
4
b)
4.5
c)
6
d) 6.25
e)
15
Answer A
2. Car X and car Y traveled the same 80-mile route. If car X took 2 hours and car Y
traveled at an average speed that was 50 percent faster than the average speed of car
X, how many hours did it take car Y to travel the route?
a)
2/3
b)
1
c)
4/3
5/3
e)
3
Answer C
d)
3. A car travels from Mayville to Rome at an average speed of 30 miles per hour and
returns immediately along the same route at an average speed of 40 miles per hour.
Of the following, which is closest to the average speed, in miles per hour, for the
round trip?
a) 32.0
b) 33.0
c) 34.3
d) 35.5
36.5
Answer C
e)
MIXTURE PROBLEMS
EXAMPLE
1. A hospital needs 82.5 liters of a 20% disinfectant Solution. How many liters
of a 60% and a 15% solution could be mixed to obtain this 20% solution?
Read the above carefully.
!
Recognize that this represents a mixture problem.
!
The best diagram for solving these is
!
9
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