Question

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

The distance of the stop from the starting point can be found by subtracting 1/2 km from the total distance.

Distance traveled from the starting
= 3$\frac{1}{3}$ = $\frac{10}{3}$ km
Distance he gets off at = $\frac{1}{2}$ km

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

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

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

= $\frac{17}{6}$ or $2\frac{5}{6}$ km

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


Therefore, option (c) is the correct answer.