Question

$\text{After traveling in a train for}3\frac{1}{3}miles,$ $\text{Mike realizes that he left something behind, so}$
$\text{he gets off at a stop}\frac{1}{2}\text{miles behind.}$

What is the position of the point on the number line where Mike gets off?

• A.
• B.
• C.
• D.

Answer 1

The correct option is B

Here, the distance of the stop from the starting point can be found by subtracting 1/2 miles from the total distance.

Distance traveled from the starting
$=3\frac{1}{3}=\frac{10}{3}miles$

Distance from starting point to where Mike got off
= Total distance - Overshot distance

$=\frac{10}{3}-\frac{1}{2}$

$=\frac{20-3}{6}$

$=\frac{17}{6}or2\frac{5}{6}miles$

$\text{Locating}2\frac{5}{6}\text{miles on the number line,}$
$\text{it lies between 2 and 3 at 5 parts}$
$\text{out of 6 parts, i.e.,}$


Therefore, second option is the correct answer.