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Slav-nsk [51]
3 years ago
7

The distance from P to Q is four times the distance from Q to R. The distance from p to r is 120 metres. What is the distance fr

om Q to R?
Mathematics
2 answers:
Pani-rosa [81]3 years ago
7 0
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:

5x=120

Divide both sides by 5 to isolate x:

x= 24

This is the length of QR.

Check to be sure:

P-------------Q-----R
       4(24)  +   24
        96     +   24  = 120

Works!

 
Leviafan [203]3 years ago
4 0
|----------------------------------120 m ------------------------------|

|--------------|--------------|--------------|--------------|--------------|
P                                                                 Q               R

Distance from P to R = 120m

120 ÷ 5 = 24m

The distance from Q to R is 24m.
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