The table represents traveling by train.
Time (hours)
Distance (miles)
2
90
4
180
6
270
Compare the speed of the train to the speed of the car. How much less time would it be for Lisa to travel 231 miles using the faster mode of transportation? Show your work or explain how you determined your answer.
Enter your comparison, answer, and work or explanation in the space provided
To compare the speed of the train to the car, we need to find the average speed of each mode of transportation.
For the train:
Time = 6 hours
Distance = 270 miles
Average speed of the train = Distance/Time
= 270 miles / 6 hours
= 45 miles/hour
Now let's assume the car's speed is 60 miles per hour.
To determine the time it would take for Lisa to travel 231 miles by train:
Time = Distance / Average speed
= 231 miles / 45 miles per hour
≈ 5.13 hours
To determine the time it would take for Lisa to travel 231 miles by car:
Time = Distance / Speed of the car
= 231 miles / 60 miles per hour
≈ 3.85 hours
The time difference would be:
Time by car - Time by train = 3.85 hours - 5.13 hours
≈ -1.28 hours
Therefore, it would take Lisa approximately 1.28 hours less to travel 231 miles by car compared to the train.