Problem Solving

Statistics for the Bolandian steam tram system are shown below (figures are for the year 2010):
Total track length: 180km
Number of stops: 48
Individual passenger journeys: 420000
Total tram km: 1.2 million
Total water consumption: 20000 cubic metres Average time between stops: 8 minutes
Which of the following additional pieces of information would make it possible to calculate the average length of an individual journey?
A The water consumption per passenger kilometre. B The number of different people using the network in the year.
C The number of trams in service.
D The average speed of a tram.
Answer is A

Reply 1

mqb2766

21

What are you unsure about? Youre given the total number of journeys and the total water consumption so ...

Reply 2

Ezcinr

OP

6

What would the water consumption per passenger kilometer allows us to know what we do not know, other than the result we get by dividing the total tram kilometer by the individual passenger journey? Can you formulate the relationship between water consumption per passenger kilometer and average journey length?

Reply 3

mqb2766

21

Original post by Ezcinr

What would the water consumption per passenger kilometer allows us to know what we do not know, other than the result we get by dividing the total tram kilometer by the individual passenger journey? Can you formulate the relationship between water consumption per passenger kilometer and average journey length?

Just try putting together as an equation
* total water consumption
* water consumption per passanger kilometer
* total number of journeys
to get the average journey length.

If youre unsure just try some numbers, so say
* 1000 total water consumption
* 2 water consuption per passenger kilometer
* 100 journeys
what would be the average length? Feel free to add units.

Reply 4

Ezcinr

OP

6

water consumption per passenger km × individual journey × average length = total water consumption
2 × 100 × X = 1000 X=5
A × 420000 × B = 20000 If we know A, we can find B
is that what you think?

Reply 5

mqb2766

21

Original post by Ezcinr

water consumption per passenger km × individual journey × average length = total water consumption
2 × 100 × X = 1000 X=5
A × 420000 × B = 20000 If we know A, we can find B
is that what you think?

Yes.

Reply 6

Ezcinr

OP

6

Thank you. Lastly, do you know any other platform where I can ask past paper questions, test questions ?