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A bicycle is travelling at $12$ miles per hour. How many feet will it cover in $45$ seconds?

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Rate of travel: word problems

Full solution

Q. A bicycle is travelling at

12

miles per hour. How many feet will it cover in

45

seconds?

Convert Speed to Feet per Second: First, we need to convert the bicycle's speed from miles per hour to feet per second. $\newline$ There are $5280$ feet in a mile and $3600$ seconds in an hour. $\newline$ Speed in feet per second = (Speed in miles per hour) $\times$ ( $5280$ feet per mile) / ( $3600$ seconds per hour)
Calculate Speed: Now, we calculate the speed in feet per second. $\newline$ Speed in feet per second = $(12 \text{ miles per hour}) \times (5280 \text{ feet per mile}) / (3600 \text{ seconds per hour})$ $\newline$ Speed in feet per second = $63360 \text{ feet per hour} / 3600 \text{ seconds per hour}$ $\newline$ Speed in feet per second = $17.6 \text{ feet per second}$
Calculate Distance: Next, we calculate the distance covered in $45$ seconds. $\newline$ Distance = Speed in feet per second $*$ Time in seconds $\newline$ Distance = $17.6$ feet per second $*$ $45$ seconds
Perform Multiplication: Now, we perform the multiplication to find the distance. $\newline$ Distance = $17.6 \times 45$ $\newline$ Distance = $792$ feet

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