Exploring distance time graphs

by The Open University

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1.9.4 Video task: Taking the A train

Now watch the video.

Video, Click to watch part two

Interactive content appears here. Please visit the website to use it.Launch high-resolution videoView documentTranscriptFigure 56View larger image Figure 56 Severn Valley Railway timetableLong description

Activity 24: Take the A train

Using the UP and DOWN timetables in Figure 56, draw a distance-time graph for the trains ANl and ASI. Start the graph for ANl at Bridgnorth at 10.35 am and finish back at Bridgnorth at 1.48 pm. The graph for ASI should start at Kidderminster at 10.45 am and finish back at Kidderminster at 1.41 pm.

On its return journey to Bridgnorth, train ANl leaves Bewdley at 12.58 pm. How long must it wait at Arley if ASI, returning from Bridgnorth, is on time? If the ANl travelled from Bewdley at 35 km per hour, how long would it have to wait at Arley before it could continue?

Discussion

Figure 57View larger image Figure 57 Distance-time graph of trains AN1 and AS1Long description

If AS1 is on time, train AN1 waits at Arley for 2 minutes. If it travelled at 35 km per hour, it would cover the 6 km from Bewdley in 6/35=0.17 hours, or about 10 minutes, arriving at Arley at 1.08 pm. It would then have to wait 5 minutes until it could depart on schedule at 1.13 pm.

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