Tick marks are equally spaced along a number line with the numbers $P, Q, R, S, T$, and $U$ labelled as shown. Which of the following best represents the value of $R$ divided by the value of $U$ ?
(A) 0.25
(B) 0.50
(C) 0.75
(D) 1.25
(E) 1.50
Solution 1

Between 0 and 1.0, the number line is divided by tick marks (at $P, Q, R$ ) into 4 equal lengths. Thus, the distance between adjacent tick marks is $\frac{1.0-0}{4}=0.25$.

Since $R$ is the $3^{r d}$ tick mark moving right from 0 , the value of $R$ is $3 \times 0.25=0.75$.

Since $U$ is the $6^{\text {th }}$ tick mark moving right from 0 , the value of $U$ is $6 \times 0.25=1.5$.

The value of $R$ divided by the value of $U$ equals $\frac{0.75}{1.5}=0.5$.

## Solution 2

The number $R$ is located at the $3^{r d}$ tick mark to the right of 0 .

The number $U$ is located at the $6^{\text {th }}$ tick mark to the right of 0 .

The tick marks are equally spaced along the number line, and so the value of $R$ must be half the value of $U$ (since 3 is half of 6 ).

The value of $R$ divided by the value of $U$ equals $\frac{1}{2}$ or 0.5 .

ANSWER: (B)