use rates, the rate a person is working is the reciprocal of the time
working together, they work at a rate of 1/3 job per hour
when two people work together their rates add together
---> 1/h + 1/j = 1/3
---> h = j - 8 (harry takes 8 hrs less than jimmy)
substitute and solve for j
<span><span>1<span>j−8</span></span>+<span>1j</span>=<span>13</span></span>
combine fractions
<span><span><span>j+(j−8)</span><span>j(j−8)</span></span>=<span>13</span></span>
cross-multiply
<span><span>j2</span>−8j=6j−24</span>
<span><span>j2</span>−14j+24=0</span>
Factor
<span>(j−12)(j−2)=0</span>
j = 12
It takes jimmy 12 hours to rake the leaves
7 1/8 = 57/8
57 divide by 6= 9.5
So you would have 9 1/2
Answer: 55.4 mins
Step-by-step explanation:
pragnesh and qazi = 2hrs
pragnesh and roghui = 3hrs
qazi and roghui = 4hrs
this means for every 1 hour they wold paint.
pragnesh and qazi = 
half of the fence
pragnesh and roghui = 
qazi and roghui = 
quarter of the fence
time taken when they all work together
= + +
= 
= 
= 0.9231 × 60(mins)
= 55.4 mins
Answer:
<h2>
x = -3, y = -7</h2>
Step-by-step explanation:
-5x + 7y = -34 ⇒ -5x = -34 - 7y
-5x + 3y = -6
-34 - 7y + 3y = -6
-34 - 4y = -6 {add 34 to both sides}
-4y = 28 {divide both sides by (-4)}
y = - 7
-5x + 3y = -6
-5x + 3(-7) = -6
-5x - 21 = -6 {add 21 to both sides}
-5x = 15 {divide both sides by (-5)}
x = -3
Answer:
x = 1, y = 1
Step-by-step explanation:
Use system of equations to solve for x and y by using substitution
