Rational Equations Worksheet

Solutions

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

B flecha

A and B flecha

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

2stflecha

Between the two flecha

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.