The graph shown at the right indicates the time taken by five people to travel various distances. On average, which person travelled the fastest?
(A) Alison
(D) Daniel
(B) Bina
(E) Emily
(C) Curtis

![](https://cdn.mathpix.com/cropped/2024_04_20_6027bc27089ed4fc493cg-100.jpg?height=361&width=399&top_left_y=1256&top_left_x=1340)
The graph shown at the right indicates the time taken by five people to travel various distances. On average, which person travelled the fastest?
(A) Alison
(B) Bina
(C) Curtis
(D) Daniel
(E) Emily

![](https://cdn.mathpix.com/cropped/2024_04_20_748fdafcde2a47412608g-450.jpg?height=510&width=548&top_left_y=1569&top_left_x=1401)

## Solution

We summarize the results for the five people in the table.

We recall that average speed $=\frac{\text { distance }}{\text { time }}$.

|  | Distance | Time (minutes) | Speed $(\mathrm{km} / \mathrm{min})$. |
| :--- | :---: | :---: | :--- |
| Alison | 1 | 20 | $\frac{1}{20}=0.05$ |
| Bina | 1 | 50 | $\frac{1}{50}=0.02$ |
| Curtis | 3 | 30 | $\frac{3}{30}=\frac{1}{10}=0.1$ |
| Daniel | 5 | 50 | $\frac{5}{50}=0.1$ |
| Emily | 5 | 20 | $\frac{5}{20}=0.25$ |

Emily is the fastest.

ANSWER: (E)