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Zorluk: OrtaCalculating Distance

A specialized reconnaissance team hikes through rough terrain at a steady pace of 3 mph3\text{ mph} for 1 hour and 40 minutes1\text{ hour and } 40\text{ minutes}. They then rendezvous with an extraction helicopter that flies them to a base at an average speed of 150 mph150\text{ mph} for 24 minutes24\text{ minutes}. What is the total distance covered by the team? (Provide your answer in miles, e.g., '50 miles')

Cevap: 65 miles / 65 / 65 mi / 65mi / 65.0 miles / sixty-five miles

Cevap

65 miles
The correct answer is found by calculating the distance of each leg separately using the formula Distance = Rate × Time, ensuring all times are properly converted into hours, and then summing the two distances (5 miles + 60 miles = 65 miles).

Adım Adım Çözüm

1
Convert the hiking time into hours.
1 hour and 40 minutes = 1 + 40/60 hours = 5/3 hours.
Speed is given in miles per hour, so time must be in hours to properly use the distance formula.
2
Calculate the distance covered during the hike.
Distance = Rate × Time = 3 mph × (5/3) hours = 5 miles.
This finds the length of the first leg of the journey.
3
Convert the helicopter flight time into hours.
24 minutes = 24/60 hours = 2/5 hours (or 0.4 hours).
Again, the helicopter speed is in mph, requiring time to be in hours.
4
Calculate the distance covered by the helicopter.
Distance = Rate × Time = 150 mph × 0.4 hours = 60 miles.
This finds the length of the second leg of the journey.
5
Calculate the total distance covered.
5 miles + 60 miles = 65 miles.
The total distance is the sum of the individual leg distances.

Anahtar Kavram

Calculating distance for multiple legs of a journey with mixed time units.
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Konular

Calculating Distance

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