Sydney takes 3 hours longer that Toni to clean the garage. If they work together, it takes them 2 hours. How long would it take Sydney working alone to clean the garage?

6 hours

Step-by-step explanation:

The formula for work is

1/a + 1/b = 1/c

where a and b are the times working alone and c is the time working together

Let x= time for Sydney

x-3 = time for Toni

1 /x + 1/ ( x-3)  = 1/2

Multiply by 2x(x-3) to clear the denominators

2x(x-3)(1 /x + 1/ ( x-3))   = 1/2 *2x(x-3)

2( x-3) + 2x = x(x-3)

Distribute

2x-6 +2x = x^2 -3x

Combine like terms

4x-6 = x^2 -3x

Subtract 4x from each side

-6 = x^2 -3x-4x

Add 3 to each side

0 = x^2 -7x +6

Factor

0 = (x-6) (x-1)

Using the zero product property

x-6 = 0   x-1 =0

x=6   x=1

But x cannot =1  because that is less time than together

x=6

walter needs to make at least 5 more cookies but no more than 40. 5 ≥ x ≥ 40;

step-by-step explanation:

walter has to make a minimum of 20 cookies. he already has 15 cookies made, so he must make 5 more to meet the minimum.

the maximum amount of cookies he can make is 55. he already has 15, so he has to make no more than 40 more cookies to meet the maximum.

3 is greater then both of those numbers