Richard went kayaking last weekend. On Saturday, he kayaked for $2$ hours and went $7$ kilometers. On Sunday, he kayaked on a different river for $3$ hours and went $12$ kilometers. On which day did Richard kayak at a faster average speed? $\newline$ Choices: $\newline$ (A)Saturday $\newline$ (B)Sunday

Full solution

Q. Richard went kayaking last weekend. On Saturday, he kayaked for

2

hours and went

7

kilometers. On Sunday, he kayaked on a different river for

3

hours and went

12

kilometers. On which day did Richard kayak at a faster average speed?

\newline

Choices:

\newline

(A)Saturday

\newline

(B)Sunday

Calculate Average Speed Saturday: Calculate the average speed for Saturday. Speed = Distance / Time. Here, Distance = $7\,\text{km}$ , Time = $2\,\text{hours}$ . So, Speed = $\frac{7\,\text{km}}{2\,\text{hours}} = 3.5\,\text{km/h}$ .
Calculate Average Speed Sunday: Calculate the average speed for Sunday. Speed = Distance / Time. Here, Distance = $12 \, \text{km}$ , Time = $3 \, \text{hours}$ . So, Speed = $\frac{12 \, \text{km}}{3 \, \text{hours}} = 4 \, \text{km/h}$ .
Compare Average Speeds: Compare the average speeds. Saturday's speed = $3.5 \, \text{km/h}$ , Sunday's speed = $4 \, \text{km/h}$ . Since $4 \, \text{km/h}$ is greater than $3.5 \, \text{km/h}$ , Richard kayaked faster on Sunday.