Rational Equations Worksheet

Solve the Rational Equations

1Rational Equation Exercise

2Rational Equation Exercise

3Rational Equation Exercise

4Find an integer number where the sum with its inverse is Fraction.

5Two taps A and B fill a swimming pool together in two hours. Alone, it takes tap A three hours less than B to fill the same pool. How many hours does it take each tap to fill the pool separately?

6A faucet takes more than two hours longer to fill a tank than it would with a second faucet working at the same time as the first, where the job can be completed in 1 hour and 20 minutes. How long does it take to fill each one separately?


1

Rational Equation Exercise

Rational Equation Operations

solución

Verify the solution:

Rational Equation Solution

The equation has no solution because for x = 1, the denominators are annulled.


2

Rational Equation Exercise

Rational Equation Operations

Rational Equation Operations

Rational Equation Operations

The solution is: Rational Equation Solution


3

Rational Equation Exercise

Rational Equation Operations

Rational Equation Operations

Rational Equation Operations

Rational Equation Operations

Rational Equation Operations

Rational Equation Operations

Rational Equation Solution


4

Find an integer number where the sum with its inverse is Fraction.

Rational Equation Operations

Rational Equation Operations

Rational Equation Operations

Rational Equation Solution


5

Two taps A and B fill a swimming pool together in two hours. Alone, it takes tap A three hours less than B to fill the same pool. How many hours does it take each tap to fill the pool separately?

Time of A flecha x

Time of B flecha x + 3

A flecha Fraction

B flecha Fraction

A and B flecha Fraction

Rational Equation Operations

Rational Equation Operations

Rational Equation Operations

Rational Equation Solution

Time of A flecha 3 hours

Time of B flecha 6 hours


6

A faucet takes more than two hours longer to fill a tank than it would with a second faucet working at the same time as the first, where the job can be completed in 1 hour and 20 minutes. How long does it take to fill each one separately?

1st Time flecha x

2nd Time flecha x − 2

1st flecha Fraction

2stflecha Fraction

Between the two flecha Fraction

Rational Equation Operations

Rational Equation Operations

Rational Equation Solution

1st Timeflecha 4 hours

2nd Time flecha 2 hours

Fraction not a solution because the time for the second faucet would be negative.




  •