Question

WORTH 30 PTS PLS ANSWER ASAP.

Answer 1

Assuming that X represents the number of hours worked and f(x) the number of cars washed, the equation would be f(x)=11x+14x.

The 11x represents the number of cars washed by Arianna in x number of hours and the 14x represents the number of cars washed by Matthew in x number of hours. You add the two because they are each washing their own car at their own pace but working on one lot. 

Answer 2

Answer:

They will take 6.16 hrs or 6 hrs, 9 minutes and 36 seconds.

Step-by-step explanation:

Consider the provided information.

Let x is the number of cars in a lot.

Matthew can wash all the cars in 14 hours. That means in 1 hr he can wash x/14 cars.

Arianna can wash all the cars in 11 hours. That means in 1 hr Aranna can wash x/11 cars.

Together there rate will be:

$\frac{x}{14}+\frac{x}{11}=\frac{x}{y}$

Here y represent the time taken by them if they work together.

Divide both sides by x, we get

$\frac{1}{14}+\frac{1}{11}=\frac{1}{y}$

Thus, the required equation is: $\frac{1}{14}+\frac{1}{11}=\frac{1}{y}$

Now solve for time, Here time is represents by y.

$\frac{1}{14}+\frac{1}{11}=\frac{1}{y}$

$\frac{11+14}{154}=\frac{1}{y}$

$\frac{25}{154}=\frac{1}{y}$

$y=\frac{154}{25}$

$y=6.16$

Hence, they will take 6.16 hrs or 6 hrs, 9 minutes and 36 seconds.