34. A car is traveling at a constant rate of 30 miles per hour. Which of the following is the number of miles the car travels in 1 hr and 45 min?
Answer: C
The car travels 52.5 miles in 1 hour and 45 minutes.
To determine the distance traveled by the car, we first convert 1 hour and 45 minutes into hours. This equals 1.75 hours. Multiplying the speed (30 miles per hour) by the time (1.75 hours) gives a total distance of 52.5 miles.
A) 43.5 miles
This option is incorrect as it does not account for the full duration of 1 hour and 45 minutes. If the car traveled for only 1.45 hours at 30 miles per hour, the distance would be 43.5 miles, but this does not reflect the proper conversion of time.
B) 30 miles
This choice is incorrect because it represents the distance the car would travel in just 1 hour at the constant speed of 30 miles per hour, not accounting for the additional 45 minutes.
C) 52.5 miles
This is the correct answer. The car travels for 1.75 hours at a speed of 30 miles per hour, resulting in a distance of 52.5 miles (30 miles/hour * 1.75 hours = 52.5 miles).
D) 60 miles
This option is incorrect as it implies that the car traveled for 2 hours at 30 miles per hour, which exceeds the actual time of 1 hour and 45 minutes. The calculation for 2 hours would yield a distance of 60 miles, but that is not applicable to this scenario.
Conclusion
The correct answer, 52.5 miles, is derived from accurately calculating the distance based on the total time traveled at the given speed. All other options fail to consider the full duration of 1 hour and 45 minutes or miscalculate the distance based on different time spans.