Ahmed is going to the store. One quarter of the way to the store, he stops to talk with Kee. He then continues for $12 \mathrm{~km}$ and reaches the store. How many kilometres does he travel altogether?

![](https://cdn.mathpix.com/cropped/2024_04_20_46ead6524a8d61e21c51g-044.jpg?height=127&width=417&top_left_y=1541&top_left_x=1301)
(A) 15
(B) 16
(C) 24
(D) 48
(E) 20
Since Ahmed stops to talk with Kee one quarter of the way to the store, then the remaining distance to the store is $1-\frac{1}{4}=\frac{3}{4}$ of the total distance.

Since $\frac{3}{4}=3 \times \frac{1}{4}$, then the distance that Ahmed travelled from Kee to the store is 3 times the distance that Ahmed travelled from the start to reach Kee.

That is, $12 \mathrm{~km}$ is 3 times the distance between the start and Kee. So the distance between the start and Kee is $\frac{12}{3}=4 \mathrm{~km}$. Therefore, the total distance travelled by Ahmed is $4+12$ or $16 \mathrm{~km}$.

ANSWER: (B)