Question

Eva can run 2 miles in 20 minutes. If she runs at the same rate, how long would it take to reach her home, which is 10 miles away? Use the double number line method to solve this question.

• A. 99 min
• B. 98 min
• C. 100 min
• D. 101 min

Answer 1

The correct option is C 100 min

Given,
Eva can run 2 miles in 20 minutes.

So, the ratio of distance traveled to the time taken by Eva is 2 : 20.

We have to find the time required to travel 10 miles.

Now, let's draw the double number line to represent the scenario.

For travelling 2 miles, 20 minutes is required.

We know, 2 × 5 = 10 $\to$ if the antecedant 2 in the first number line is multiplied with 5 to get 10. Hence the consquent 20 in the second number line should also be multiplied with 5, we get 100

Hence, Eva took 100 mins to reach her home.