Answer:
Distance between A and B is 5400 meters
Step-by-step explanation:
Consider "D" the letter to identify distance between A and B
Let's use "t" to identify the time of the first encounter (Devi and Kumar), and create an equation that states that the distance covered by Devi (at 100 m/min) in time "t", is equal to the total distance D minus what Kumar has covered at his speed (80 m/min) in that same time:
Recall that distance equals the speed times the time:
distance= speed * time
First encounter:
100 * t = D - 80 * t
180 * t = D Equation (1)
Not, 6 minutes later (at time t+6) , Devi and Li Ting meet .
Then for this encounter the distance covered by Devi equals total distance d minus the distance covered by Li Ting:
100 *(t+6) = D - 75 * (t+6)
100 t + 600 = D - 75 t - 450
175 T + 150 = D Equation (2)
Now, let's equal equation (1) to equation (2), since D should be the same:
180 t = 175 t + 150
5 t = 150
t = 30
Then the time t (first encounter) is 30 minutes. Knowing this, we can use either equation to find D:
From Equation (1) for example: D = 180 * t = 180 * 30 = 5400 meters
19 heavy equipment operators and 20 general laborers
10 L is greater than 1000 ML because , 1 L = 1000 ML<span />
Set up a system of equations
Let x=first salesperson's paycheck
y=second salesperson's paycheck
x= y-.15y
x+y= 1425
Solve by substituting x
(y-.15y)+y= 1425
1.85y= 1425
y= 770.27
Substitute 770.27 for y in order to solve for x
x= (770.27)-.15(770.27)
x= 770.27-115.54
x=654.73
So the first salesperson(x) has a paycheck of $654.73 and the second salesperson(y) has a paycheck of $770.27.
Hope this helps!
