Question

a train traveled at the same speed for 78 hours. it went 3,812.01 miles in all. to the nearest hundredth of a mile per hour, how fast was the train going?
miles per hour
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Explanation:

Step1: Recall the formula for speed

Speed is calculated as the distance traveled divided by the time taken. The formula is \( \text{Speed} = \frac{\text{Distance}}{\text{Time}} \).

Step2: Identify the given values

The distance traveled (\( d \)) is 3812.01 miles and the time taken (\( t \)) is 78 hours.

Step3: Calculate the speed

Substitute the given values into the formula: \( \text{Speed} = \frac{3812.01}{78} \).
Performing the division: \( \frac{3812.01}{78} \approx 48.871923 \).

Step4: Round to the nearest hundredth

To round 48.871923 to the nearest hundredth, we look at the thousandths place (1). Since 1 is less than 5, we keep the hundredths place as it is. So, 48.871923 rounded to the nearest hundredth is 48.87.

Answer:

48.87