Calculating Train Distance with Significant Figures
What distance does the train cover expressed to the correct number of significant figures?
A train travels at a constant speed of 60.4 mi/h for 101.5 min. How far does the train travel with the correct number of significant figures?
Answer:
The distance covered by the train is approximately 102 mi (rounded to three significant figures).
When a train travels at a constant speed of 60.4 mi/h for 101.5 min, the distance covered by the train is approximately 102 mi, rounded to three significant figures.
Calculating the Distance:
The formula to calculate distance is: Distance = Speed x Time
Given:- Speed = 60.4 mi/h (with 3 significant figures)- Time = 101.5 min (with 4 significant figures)
Before calculation, ensure that the units are consistent. Convert the time from minutes to hours:
101.5 min = 101.5 min / 60 min/h = 1.69166667 h
Now, calculate the distance:
Distance = 60.4 mi/h x 1.69166667 h = 102.23 mi
Expressing the distance to the correct number of significant figures, round it to match the least precise value, which is 3 (from the speed). So, the distance covered by the train is approximately 102 mi.
For further information on train speed calculation, please visit a trustworthy resource.