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Zorluk: OrtaCalculating Distance

A logistical transport convoy travels along a main supply route at a steady speed of 55 miles per hour55\text{ miles per hour}. If the journey takes exactly 3 hours and 36 minutes3\text{ hours and } 36\text{ minutes}, what is the total distance traveled in miles?

Cevap: 198 miles

Cevap

The convoy traveled a total distance of 198 miles.
The correct total distance is determined by first converting the mixed travel time entirely into hours (3.6 hours3.6\text{ hours}) and then multiplying it by the constant speed (55 mph55\text{ mph}) to yield exactly 198 miles198\text{ miles}.

Adım Adım Çözüm

1
Convert the travel time into a single unit (hours) to match the rate.
3 hours and 36 minutes=3+3660 hours=3.6 hours3\text{ hours and } 36\text{ minutes} = 3 + \frac{36}{60}\text{ hours} = 3.6\text{ hours}.
The speed is given in miles per hour, so the time must be represented entirely in hours before multiplying.
2
Apply the distance formula: Distance = Rate ×\times Time.
Distance = 55×3.655 \times 3.6
This formula determines the total distance covered over a specific time frame at a constant speed.
3
Calculate the final distance.
198198
Multiplying the constant rate of 55 mph55\text{ mph} by the total duration of 3.6 hours3.6\text{ hours} yields the total miles traveled.

Anahtar Kavram

Calculating distance using a constant rate and converting mixed time units.
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