A slice that cuts across a corner through three sides of a cube

Jeff can weed the garden twice as fast as his sister Julia. Together they can weed the garden in 3 hours. How long would it take

Leona [35]

<h2>Hello!</h2>

The answer is:

The correct option is:

A) Jeff, 4.5 hours; Julia 9 hours.

To solve the problem, we need to write two equations using the given information.

So, writing the first equation we have:

We know that Jeff can weed the garden twice as fas as his sister Julia, so:

$JeffRate=2JuliaRate$

Also, from the statement we know that they can weed the garden in 3 hours, so, writing the second equation we have:

$JeffRate+JuliaRate=\frac{1garden}{3hours}$

Then, we need to substitute the first equation into the second equation in order to isolate Julia's rate, so, solving we have:

$JeffRate+JuliaRate=\frac{1garden}{3hours}$

$2JuliaRate+JuliaRate=\frac{1garden}{3hours}$

$3JuliaRate=\frac{1garden}{3hours}$

$JuliaRate=\frac{1garden}{3hours*3}=\frac{1garden}{9hours}$

We have that Julia could weed the garden by herself in 9 hours.

So, calculating how long will it take to Jeff, we have:

$JeffRate=2*JuliaRate\\\\JeffRate=2*\frac{1garden}{9hours}=\frac{2garden}{9hours}=\frac{1garden}{4.5hours}$

We have that Jeff could weed the same garden by himself in 4.5 hours.

Hence, the correct option is:

A) Jeff, 4.5 hours; Julia 9 hours.

Have a nice day!

8 0

3 years ago

If the sum of n terms of a G.P series is 225, the common ratio is 2 and the last term

igomit [66]

Answer:

Step-by-step explanation:

what is the finance charge?

7 0

3 years ago

Read 2 more answers

Cathy has half of what bryan has, byan has 1200 dollars. how much does cathy have?

Sauron [17]

Answer:

600

Step-by-step explanation:

You would do 1200 x 1/2 = 600

Hope this helps :D

6 0

3 years ago

Read 2 more answers

Ajay reads aloud from a sports magazine. He comes across the measurement 0.63 kilometer. How should he read this measurement alo

Mashutka [201]

Answer:

"sixty-three hundredths of a Kilometer"

Step-by-step explanation:

Decimal measurements are read based on the place of their digits. In this case, Ajay would read this measurement as "sixty-three hundredths of a Kilometer". This is because the final digit of the decimal form measurement is in the "hundredths" position. One more to the right and it would be in the "thousandths" while one more to the left would be the "tenths"

4 0

3 years ago

Cars arrive at a toll booth according to a Poisson process with mean 70 cars per hour. Suppose the attendant makes a phone call.

Alexxx [7]

Answer:

35.6 seconds

Step-by-step explanation:

The Poisson distribution has a probability model that follows the given relationship:

$P(X=x) = \frac{\lambda^xe^{-\lambda}}{x!}$

For x = zero calls at a probability of 50%, the arrival rate during the call is:

$P(X=0)=0.50 = \frac{\lambda^0e^{-\lambda}}{0!}\\e^{-\lambda}=0.50\\\lambda=0.6931\ cars/ n\ seconds$

Since cars arrive at a rate of 70 per hour, the length of call 'n' in seconds is:

$r = \frac{70}{h}*\frac{1h}{3,600s} = 0.019444\ cars/s\\n= \frac{\lambda}{r}=\frac{0.6931}{0.019444} =35.6\ seconds$

The call should be at most 35.6 seconds long to ensure a 50% probability that no cars arrive during the call.

3 0

3 years ago