Question

Jared wants a quick trip by bus or train to New York. The bus’s average speed is shown in the graph. The train’s average speed is shown in the table. Which form of transportation travels a greater distance per hour?TrainTime (hours)Distance (miles)29031356270BusA graph has time (hours) on the x-axis, and distance (miles) on the y-axis. A line goes through points (0, 0) and (5, 300).

Answer 1

Given,

The time and distance covered by the train is,

Time (hours)Distance (miles)

2 90

3 135

6 270

The time and distance covered by the bus is,

Time (hours)Distance (miles)

0 0

5 300

The speed of the train is,

`\begin{gathered} \text{Speed=}\frac{change\text{ in distance}}{change\text{ in time}} \\ =(135-90)/(3-2) \\ =45 \end{gathered}`

The train covers 45 miles per hour.

The speed of the bus is,

`\begin{gathered} \text{Speed=}\frac{change\text{ in distance}}{change\text{ in time}} \\ =(300-0)/(5-0) \\ =60 \end{gathered}`

The bus covers 60 miles per hour.

Hence, Bus travels a greater distance per hour.