# Rational Equations Worksheet

### Solutions

#### Solve the Rational Equations

1

2

3

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

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

Verify the solution:

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

## 2

The solution is:

## 3

## 4

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

## 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 x

Time of B x + 3

A

B

A and B

Time of A 3 hours

Time of B 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 x

2nd Time x − 2

1st

2st

Between the two

1st Time 4 hours

2nd Time 2 hours

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