The distance from point $P$ to point $R$ is 800 yards. The distance from point $P$ to point $Q$ is 4 times the distance from point $Q$ to point $R$. Olivia says, It is 600 yards from point $P$ to point Q. Explain why Olivia is not correct.

Step 1 ：Given that the distance from point P to point R is 800 yards.

Step 2 ：It is also given that the distance from point P to point Q is 4 times the distance from point Q to point R.

Step 3 ：Olivia claims that the distance from point P to point Q is 600 yards.

Step 4 ：If Olivia's claim is correct, then the distance from point Q to point R would be \(\frac{600}{4} = 150\) yards.

Step 5 ：This would mean that the total distance from point P to point R (P to Q + Q to R) would be \(600 + 150 = 750\) yards.

Step 6 ：This contradicts the given information that the distance from point P to point R is 800 yards.

Step 7 ：\(\boxed{\text{Therefore, Olivia's statement is not correct.}}\)