Match each military travel scenario with its calculated average speed or travel time.

Average speed of a convoy traveling 180 miles in 4 hours45 mph
Travel time in minutes for a patrol boat sailing 15 miles at 30 mph30 minutes
Average speed of a helicopter covering 240 miles in 90 minutes160 mph
Travel time in minutes for a humvee driving 110 miles at 55 mph120 minutes

Answer

The matches are: convoy speed is 45 mph, patrol boat time is 30 minutes, helicopter speed is 160 mph, and humvee time is 120 minutes.

Each scenario requires applying the fundamental relationship between distance, rate, and time (

d = rt

). For scenarios asking for minutes, the calculated hours are multiplied by 60. For scenarios given in minutes but requiring mph, the minutes are divided by 60.

Step-by-Step Solution

Calculate the speed for the convoy.

180 \text{ miles} \div 4 \text{ hours} = 45 \text{ mph}

Average speed is found by dividing total distance by total time.

Calculate the travel time for the patrol boat.

15 \text{ miles} \div 30 \text{ mph} = 0.5 \text{ hours}

0.5 \times 60 = 30 \text{ minutes}

Time is distance divided by rate. The result in hours must be multiplied by 60 to find minutes.

Calculate the speed for the helicopter.

90 \text{ minutes} = 1.5 \text{ hours}

240 \text{ miles} \div 1.5 \text{ hours} = 160 \text{ mph}

Speed in mph requires the time to be in hours, so minutes are divided by 60 first.

Calculate the travel time for the humvee.

110 \text{ miles} \div 55 \text{ mph} = 2 \text{ hours}

2 \times 60 = 120 \text{ minutes}

Divide distance by rate to get hours, then multiply by 60 for minutes.

Key Concept

Calculating Rate and Time with Unit Conversions

Estimated Time:1m 30s

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