Question
A 2-day automobile trip of 880 miles is planned. Half of this distance is to be traveled each day at a rate of 55 miles per hour. How many hours will be driven each day, given that D=RT? (D = Distance, R = Rate, T = Time)
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Answer to a math question A 2-day automobile trip of 880 miles is planned. Half of this distance is to be traveled each day at a rate of 55 miles per hour. How many hours will be driven each day, given that D=RT? (D = Distance, R = Rate, T = Time)
Hank
4.8105 Answers
Solution:
1. Determine the total distance to be traveled each day:
* Total distance:880 \text{ miles}
* Half the distance per day:\frac{880}{2} = 440 \text{ miles}
2. Use the formula for distance, rate, and time:
* Formula:D = R \cdot T
* Given:
- Rate,R = 55 \text{ miles per hour}
- Distance per day,D = 440 \text{ miles}
3. Solve for time,T
* Substitute into the formula:
440 = 55 \cdot T
* Solve forT
T = \frac{440}{55} = 8 \text{ hours}
Each day, they will drive for a total of8 \text{ hours}
1. Determine the total distance to be traveled each day:
* Total distance:
* Half the distance per day:
2. Use the formula for distance, rate, and time:
* Formula:
* Given:
- Rate,
- Distance per day,
3. Solve for time,
* Substitute into the formula:
* Solve for
Each day, they will drive for a total of
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