The formula for the distance traveled over time $t$ and at an average speed $v$ is $v \cdot t$ . Amit ran for $40$ minutes at a speed of about $5$ kilometers per hour. What calculation will give us the estimated distance Amit ran in kilometers? Choose $1$ answer: $\newline$ (A) $5 \cdot 40 \cdot 60$ $\newline$ (B) $5 \cdot 1000 \cdot 40$ $\newline$ (C) $5 \cdot \frac{40}{60}$ $\newline$ (D) $\frac{5}{1000} \cdot 40$

Full solution

Q. The formula for the distance traveled over time

t

and at an average speed

v

v \cdot t

. Amit ran for

40

minutes at a speed of about

5

kilometers per hour. What calculation will give us the estimated distance Amit ran in kilometers? Choose

1

answer:

\newline

(A)

5 \cdot 40 \cdot 60

\newline

(B)

5 \cdot 1000 \cdot 40

\newline

(C)

5 \cdot \frac{40}{60}

\newline

(D)

\frac{5}{1000} \cdot 40

Convert to Hours: Convert the running time from minutes to hours. $\newline$ Amit ran for $40$ minutes. Since there are $60$ minutes in an hour, we need to convert $40$ minutes into hours by dividing by $60$ . $\newline$ Calculation: $40$ minutes $\div$ $60$ minutes/hour $= \frac{2}{3}$ hours
Use Distance Formula: Use the formula for distance, which is distance = speed $\times$ time. $\newline$ Amit's speed is given as $5$ kilometers per hour, and we have just calculated the time in hours as $\frac{2}{3}$ hours. $\newline$ Calculation: Distance = $5$ km/h $\times$ $\frac{2}{3}$ hours
Perform Multiplication: Perform the multiplication to find the distance. $\newline$ Calculation: Distance = $5 \, \text{km/h} \times \frac{2}{3} \, \text{hours} = \left(5 \times \frac{2}{3}\right) \, \text{km} = \frac{10}{3} \, \text{km}$
Simplify Fraction: Simplify the fraction to find the distance in kilometers. $\newline$ Calculation: $\frac{10}{3}$ km = $3.333\ldots$ km
Select Correct Option: Selection of the correct option. $\newline$ The calculation that gives us the estimated distance Amit ran in kilometers is $5$ kilometers per hour times the running time in hours ( $40$ minutes converted to hours), which is option (C) $5 \times (40/60)$ .