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The formula for the distance traveled over time $t$ and at an average speed $v$ is $d = v \times t$ . Amit ran for $45$ minutes at a speed of about $10$ kilometers per hour. What calculation will give us the estimated distance Amit ran in kilometers?

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Write linear functions: word problems

Full solution

Q. The formula for the distance traveled over time

t

and at an average speed

v

is

d = v \times t

. Amit ran for

45

minutes at a speed of about

10

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

Identify Formula: Identify the formula for distance traveled over time at an average speed. $\newline$ The formula for distance is $\text{Distance} = \text{Speed} \times \text{Time}$ .
Convert Time to Hours: Convert the time Amit ran from minutes to hours. $\newline$ Amit ran for $20$ minutes. Since there are $60$ minutes in an hour, we divide the number of minutes by $60$ to convert to hours. $\newline$ Time in hours = $20$ minutes / $60$ minutes/hour = $\frac{1}{3}$ hour.
Calculate Distance: Use the given speed to calculate the distance. $\newline$ Amit's speed is $8$ kilometers per hour. $\newline$ Distance $=$ Speed $*$ Time $\newline$ Distance $=$ $8$ km/hour $*$ $1/3$ hour
Perform Multiplication: Perform the multiplication to find the distance. $\newline$ Distance = $8 \times \frac{1}{3}$ $\newline$ Distance = $\frac{8}{3}$ $\newline$ Distance = $2.666\ldots$ kilometers
Round Distance: Round the distance to a reasonable number of decimal places. $\newline$ Since the speed was given as ＂about $8$ kilometers per hour,＂ we can round the distance to two decimal places. $\newline$ Distance $\approx 2.67$ kilometers

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