Question

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 from Q to R?

Answer 1

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!

 

Answer 2

|----------------------------------120 m ------------------------------|

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

Distance from P to R = 120m

120 ÷ 5 = 24m

The distance from Q to R is 24m.