Respuesta :
|----------------------------------120 m ------------------------------|
|--------------|--------------|--------------|--------------|--------------|
P Q R
Distance from P to R = 120m
120 ÷ 5 = 24m
The distance from Q to R is 24m.
|--------------|--------------|--------------|--------------|--------------|
P Q R
Distance from P to R = 120m
120 ÷ 5 = 24m
The distance from Q to R is 24m.
Let distance from Q to R equal x. Then distance from P to Q is 4x. So we have something like this:
P-------------Q-----R
4x x
Distance all the way from P to R is 4x + x = 5x, and this must be equal to 120. So set up the equation:
[tex]5x=120[/tex]
Divide both sides by 5 to isolate x:
[tex]x= 24[/tex]
This is the length of QR.
Check to be sure:
P-------------Q-----R
4(24) + 24
96 + 24 = 120
Works!
P-------------Q-----R
4x x
Distance all the way from P to R is 4x + x = 5x, and this must be equal to 120. So set up the equation:
[tex]5x=120[/tex]
Divide both sides by 5 to isolate x:
[tex]x= 24[/tex]
This is the length of QR.
Check to be sure:
P-------------Q-----R
4(24) + 24
96 + 24 = 120
Works!
