Chapters

 

Exercise 2

Exercise 3

Exercise 4

Exercise 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?

Exercise 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?

 

Solution of exercise 1

 

Verifying the solution:

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

 

Solution of exercise 2

 

 

Verifying the answer:

Solution of exercise 3

 

Verifying the answer:

For :

For :

 

Solution of exercise 4

 

Verifying the answer:

 

When :

 

When :

 

Solution of exercise 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 =

 

Time of B =

 

Verifying the answers:

 

When :

 

When :

Time of A 3 hours

Time of B 6 hours

 

Solution of exercise 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 =

2nd Time =

x=\frac { 14 - 10}{ 6 } x=\frac { 24 }{ 6 }  \qquad

1st Time 4 hours

2nd Time 2 hours

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

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Emma

Emma

I am passionate about travelling and currently live and work in Paris. I like to spend my time reading, gardening, running, learning languages and exploring new places.