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A wildfire is spreading toward a ranger station at a rate of 6 miles per hour. If the ranger station is 5 miles away from the wildfire, how many minutes will it take for the wildfire to reach the ranger station?

A wildfire is spreading toward a ranger station at a rate of $6$ miles per hour. If the ranger station is $5$ miles away from the wildfire, how many minutes will it take for the wildfire to reach the ranger station?

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Rate of travel: word problems

Full solution

Q. A wildfire is spreading toward a ranger station at a rate of

6

miles per hour. If the ranger station is

5

miles away from the wildfire, how many minutes will it take for the wildfire to reach the ranger station?

Identify speed and distance: We need to calculate the time it will take for the wildfire to cover the distance to the ranger station. $\newline$ First, we identify the speed of the wildfire and the distance to the ranger station. $\newline$ Speed of wildfire: $6$ miles per hour $\newline$ Distance to ranger station: $5$ miles
Calculate time to reach ranger station: Next, we calculate the time it will take for the wildfire to reach the ranger station by dividing the distance by the speed. $\newline$ $\text{Time} = \frac{\text{Distance}}{\text{Speed}}$ $\newline$ $\text{Time} = \frac{5 \, \text{miles}}{6 \, \text{miles per hour}}$
Convert time to minutes: Perform the division to find the time in hours. $\newline$ Time = $\frac{5}{6}$ hours
Convert time to minutes: Perform the division to find the time in hours. $\newline$ Time = $\frac{5}{6}$ hoursConvert the time from hours to minutes by multiplying by $60$ , since there are $60$ minutes in an hour. $\newline$ Time in minutes = $\left(\frac{5}{6}\right) \times 60$ minutes
Convert time to minutes: Perform the division to find the time in hours. $\newline$ Time = $\frac{5}{6}$ hoursConvert the time from hours to minutes by multiplying by $60$ , since there are $60$ minutes in an hour. $\newline$ Time in minutes = $\left(\frac{5}{6}\right) \times 60$ minutesPerform the multiplication to find the time in minutes. $\newline$ Time in minutes = $50$ minutes

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