Tina can paint a room 1.5 times faster than joey can. if they work together, they can paint a room in 6 hours. how long would it take the slower person working alone to paint the room?

To answer this problem, let us define that:

x = amount of time Joey can paint a room in hours

1.5 x = amount of time Tina can paint a room in hours

Each person can complete 1 job in the specified amount of time.

1 job / x hours = rate of Joey

1job / 1.5 x hours = rate of Tina

By adding the two, they can paint the room (1 job) in 6 hours. Therefore:

(1 / x) + (1 / 1.5 x) = 1 / 6

Multiplying whole equation with 6 (x) (1.5 x):

6 (1.5 x) + 6 x = x (1.5 x)

9 x + 6 x = 1.5 x^2

Dividing both sides with x:

15 = 1.5 x

x = 10 hours

Therefore the time it will take Tina, the slower person, is 1.5x = 15 hours

ANSWER: 15 hours

sinn is the total amount of students now and m were the students before, you subtract them both (n-m) and divide that by m. then, since to get a percentage from a fraction you have to multiply by 100, your answer should look like this: n-m/m*100

step-by-step explanation:

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240