Question

45%

R
Towns P, Q and Rare connected by roads PQ, PR and QR.
PR is 15 km longer than PQ.
QR is three times as long as PR.
The total length of the three roads is 245 km
Work out the length of PQ.
Use x as the unknown in any working.
Your final line must say, PQ = ...
Pa​

Answer 1

Answer: 37 km

Explanation:

Given

The total length of the three roads is 245 km

Suppose the length of PQ is
`x\ km`

According to question

The Length of PR is
`x+15`

The length of QR is
`3(x+15)`

The Sum of PQ, PR, and QR is

`\Rightarrow x+x+15+3(x+15)=245\\\Rightarrow 5x+60=245\\\Rightarrow 5x=185\\\Rightarrow x=37 km`

length of PQ=37 km