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?

Rationale

The car travels 52.5 miles in 1 hour and 45 minutes.

To find the distance traveled, we first convert 1 hour and 45 minutes into hours, which equals 1.75 hours. Multiplying the constant speed of 30 miles per hour by the time of 1.75 hours gives us the total distance traveled: 30 miles/hour × 1.75 hours = 52.5 miles.

A (43.5 miles) YOUR ANSWER

This option suggests that the car would travel 43.5 miles in the given time, but this is incorrect. At a speed of 30 miles per hour for 1.75 hours, the actual distance is higher than 43.5 miles, indicating a miscalculation in the time or speed.

B (30 miles) YOUR ANSWER

This answer reflects the distance the car would travel in just 1 hour at 30 miles per hour. However, since the car is traveling for 1 hour and 45 minutes, which is more than 1 hour, the total distance covered must be greater than 30 miles.

C (52.5 miles) CORRECT

This is the correct choice, as calculated by multiplying the speed of the car (30 miles per hour) by the total time traveled (1.75 hours). The result is 52.5 miles, accurately representing the distance covered.

D (60 miles) YOUR ANSWER

This option implies that the car would travel 60 miles in the given time, which would only be possible if the car traveled at a speed greater than 30 miles per hour for the entire duration. At 30 miles per hour, the car cannot cover this distance in 1 hour and 45 minutes.

Conclusion

To determine the distance traveled by the car, it is essential to convert the time into hours and apply the formula: distance = speed × time. The calculation shows that the car travels 52.5 miles in 1 hour and 45 minutes, making option C the only accurate choice among the alternatives presented.

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?

The car travels 52.5 miles in 1 hour and 45 minutes.

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