The front of a brush fire is moving through some dead grass at a rate of 3 miles per hour. Luckily, it is moving directly toward the fire station, which can dispatch a fire truck to fight the blaze. If the fire station is 1 mile away and the truck can travel straight to the fire's front at 44 miles per hour, how long will it be before the fire truck reaches the fire's front? If necessary, round your answer to the nearest minute.____ hours and ____ minutes
Q. The front of a brush fire is moving through some dead grass at a rate of 3 miles per hour. Luckily, it is moving directly toward the fire station, which can dispatch a fire truck to fight the blaze. If the fire station is 1 mile away and the truck can travel straight to the fire's front at 44 miles per hour, how long will it be before the fire truck reaches the fire's front? If necessary, round your answer to the nearest minute.____ hours and ____ minutes
Calculate combined speed: Calculate the combined speed of the fire's front and the fire truck moving toward each other.Speed of fire's front: 3 miles per hourSpeed of fire truck: 44 miles per hourCombined speed = Speed of fire's front + Speed of fire truckCombined speed =3+44=47 miles per hour
Determine time to reach: Determine the time it takes for the fire truck to reach the fire's front.Distance to fire's front: 1 mileCombined speed: 47 miles per hourTime = Distance / SpeedTime =1 mile /47 miles per hourTime hickapprox0.02127659574468085 hours
Convert time to minutes: Convert the time from hours to minutes.Time in hours ≈0.02127659574468085 hoursMinutes in an hour: 60Time in minutes = Time in hours × Minutes in an hourTime in minutes ≈0.02127659574468085×60Time in minutes ≈1.276595744680851 minutesRound to the nearest minute: ≈1 minute