We can solve this problem by calculating the individual rate of working and equate it to their total rate of working.
If Dave can complete a sales route in 4 hours, then his working rate is
![\frac{1}{4}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B4%7D%20)
Also, if James can do it in 5 hours, then his working rate is
![\frac{1}{5}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B5%7D%20)
Let
![x](https://tex.z-dn.net/?f=x)
be the hours that both will use to complete the sales route,
Then rate at which both completes this task is
![\frac{1}{x}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7Bx%7D%20)
Meaning if we add their individual rates we should get
![\frac{1}{x}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7Bx%7D%20)
That is;
![\frac{1}{4} + \frac{1}{5} = \frac{1}{x}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B4%7D%20%2B%20%5Cfrac%7B1%7D%7B5%7D%20%3D%20%5Cfrac%7B1%7D%7Bx%7D%20)
The LCM is
![20x](https://tex.z-dn.net/?f=20x)
So let us multiply through with the LCM.
![20x \times \frac{1}{4} + 20x \times \frac{1}{5} =20x \times \frac{1}{x}](https://tex.z-dn.net/?f=20x%20%5Ctimes%20%5Cfrac%7B1%7D%7B4%7D%20%2B%2020x%20%5Ctimes%20%5Cfrac%7B1%7D%7B5%7D%20%3D20x%20%5Ctimes%20%5Cfrac%7B1%7D%7Bx%7D%20)
![5x + 4x = 20](https://tex.z-dn.net/?f=5x%20%2B%204x%20%3D%2020)
We simplify to get,
![9x = 20](https://tex.z-dn.net/?f=9x%20%3D%2020)
Dividing through by 9 gives;
![x = \frac{20}{9}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B20%7D%7B9%7D%20)
![x = 2\frac{1}{9}](https://tex.z-dn.net/?f=x%20%3D%202%5Cfrac%7B1%7D%7B9%7D%20)
Therefore the two will complete sales route in
![2 \frac{1}{9}](https://tex.z-dn.net/?f=2%20%5Cfrac%7B1%7D%7B9%7D%20)
hours.
Answer:
228 kilometers away
Step-by-step explanation:
Answer: True
Step-by-step explanation: Because if we have two independent events and want to know the probability of their happening at the same time, we multiply the two probabilities together. "Two events happening at the same time" is a compound event. We more often see this as "P(xy)," the probability of x AND y.
Answer:
$500
Step-by-step explanation:
Today the price of a Jeep is $25,000.
In 1970, the price was $5,000.
We need to find the relative price. It can be calculated as follows :
![P=\dfrac{25000}{5000}\times 100\\\\P=\$500](https://tex.z-dn.net/?f=P%3D%5Cdfrac%7B25000%7D%7B5000%7D%5Ctimes%20100%5C%5C%5C%5CP%3D%5C%24500)
So, the relative price is $500.
Area is length times width so
A = 4.5*3.4 which is 15.3.
The area of the rectangle is 15.3 cm