Time Realted Functions - Advanced Algebra - Practice Problems, Exercises of Calculus

This lecture is from Advanced Algebra. Key important points are: Time Realted Functions, Equalities and Inequalities, Arithematic Expressions, Graphing, Elimination

Typology: Exercises

2012/2013

Uploaded on 01/31/2013

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Advanced Algebra Ch. 9 Name_________________
9.6 Application Worksheet
Write a rational expression to solve the following problems.
1. A large hose can fill a pool in 10 hours. A small hose can fill the pool in 12 hours. If both
hoses are used, how long will it take to fill the pool?
2. Mike can wash and wax the car in 4.5 hours. Together, Mike and Ray can do the job in 3
hours. How long would it have taken Ray to do the job by himself?
3. One hose can fill a pool in 9 hours. A small hose can fill the same pool in 11 hours. If both
hoses are used, how long will it take to fill the pool?
4. A panda can eat the eucalyptus leaves from a branch in 14 minutes. Together, two pandas can
eat the leaves from that same branch in 9 minutes. How long would it have taken the second
panda to eat the leaves from the branch by itself?
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Advanced Algebra Ch. 9 Name_________________ 9.6 Application Worksheet

Write a rational expression to solve the following problems.

  1. A large hose can fill a pool in 10 hours. A small hose can fill the pool in 12 hours. If both hoses are used, how long will it take to fill the pool?
  2. Mike can wash and wax the car in 4.5 hours. Together, Mike and Ray can do the job in 3 hours. How long would it have taken Ray to do the job by himself?
  3. One hose can fill a pool in 9 hours. A small hose can fill the same pool in 11 hours. If both hoses are used, how long will it take to fill the pool?
  4. A panda can eat the eucalyptus leaves from a branch in 14 minutes. Together, two pandas can eat the leaves from that same branch in 9 minutes. How long would it have taken the second panda to eat the leaves from the branch by itself?
  1. It takes Angus three days to cultivate the garden. It takes Helga four days to do the same job. How long does it take them to do the job together?
  2. A tank can be filled by a hose in 15 hours. It can be emptied by a drainpipe in 25 hours. If the drainpipe is open while the tank is being filled, how long does it take to fill the tank?
  3. An empty oil tank can be filled by pipeline in 10 hours. The tank can be emptied in 25 hours by opening a valve. If the valve is opened while the pipeline is filling the tank, how long will it take for the tank to fill?

Answers: 1. 5.45 hours 2. 9 hours 3. 4.95 hours 4. 25.2 minutes

  1. 1.71 days 6. 37.5 hours 7. 16.67 hours