Question

Rosemary walks each week for exercise.

Let $d$ represent the distance walked and $h$ represent the number of hours spent walking.

Last week: walked $18\mathrm{miles}\mathrm{in}6\mathrm{hours}$
This week: $d=2.5h$
Which statement must be true?

• A. This week, she walked a greater distance.
• B. Last week, she walked a greater distance
• C. This week, she walked at a faster pace.
• D. Last week, she walked at a faster pace.

Answer 1

The correct option is B

Last week, she walked a greater distance

Find the Rosemary walks each week for exercise:

Let $d$ represent the distance walked and $h$ represent the number of hours spent walking.

Last week walked $18miles$ in $6hours$.

Rosemary walked $\frac{18}{6}=3\mathrm{miles}\mathrm{per}\mathrm{hour}$.

This week $d=2.5h$

This week she walked $2.5\mathrm{miles}\mathrm{per}\mathrm{hour}$.

Last week she walked $3\mathrm{miles}\mathrm{per}\mathrm{hour}$ that is greater than $2.5\mathrm{miles}\mathrm{per}\mathrm{hour}.$

Hence, last week, she walked a greater distance.

Therefore, Option $B$ is correct