Physics, Foundation Programme – Problem Solving Exercises 3
Solving Equations I
1. Solve each equation and check your solution:
a) a: x=1
b) a: y=7
c) a: s=21
d) a: z=5
e) a: identity, infinite many solutions
f) a: no solution
g) a: x=1/25
h) * a:
i) a:
2. Solve each rational equation and check the solution:
a) a:
b) a: NO solution, after multiplication of the eq. by (x-5):
a=5, but with the restriction
c) a:
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d) a:
3. Solve systems of linear equations and check your solution:
a) a: x=1; y=-1
b) a:
c) a: all pairs
d) a: contradiction, no solution
e)
a: x=15, y=12, z=10
4. How many liters of a 40% sulfuric acid solution should be mixed with 4 liters of a 24% sulfuric acid
solution to produce a 30% solution?
A: V=2.4 L
5. A radiator contains 6 liters of a 25% antifreeze solution. How much should be drained and replaced with
pure antifreeze to produce a 33% antifreeze solution?
A: V=0.64 L
6. A car traveling at 80 kilometers per hour is passed by a second car going in the same direction at a constant
speed. After 30 seconds, the two cars are 500 meters apart. Find the speed of the second car.
A: v=140 km/h
7. A painter can paint a kitchen in 10 hours. An apprentice can paint the same kitchen in 15 hours. If they
worked together, how long would it take them to paint the kitchen?
A: t= 6 hours
8. A mason can lay the bricks in a sidewalk in 12 hours. The mason’s apprentice requires 16 hours to do the
same job. After working together for 4 hours, the mason leaves for another job, and the apprentice
continues working. How long will it take the apprentice to complete the job?
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A:
FP Physics - Problem Solving Exercises 3WA 3/3 Masaryk University