Past paper question

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leanmeamum
Posts: 736
Joined: Sat Dec 03, 2011 4:14 pm

Past paper question

Post by leanmeamum »

. The number 65 bus goes on a circular route shown in the diagram below.
The cost of travelling between any two stops is worked out by adding
together the fares between consecutive stages. For example, if it costs 40p
to travel from A to B, and 37p to travel from B to C, then the cost of a ticket
from A to C would be 77p.

If it costs 24p to go from C to D, and 97p to go from C to E, what is the fare
from D to E? ________

Mavis, Ethel and her friend Dot all get on the bus at E. Mavis buys a ticket
from E to G and is charged 82p. Ethel kindly buys a ticket for both herself
and her friend. Ethel is going all the way to G, whereas Dot is going to F.
Ethel is charged £1.17. What is the fare from F to G? ________

The total cost of one ticket from G to J and one ticket from G to I is £1
The total cost of one ticket from G to J and one ticket from H to J is £1.20
The total cost of one ticket from G to J, one ticket from G to H, and one ticket
from I to J, is £1.30.
What is the cost of one ticket from G to J? _________


+++++++++++++++++++++++++++

Just need help with the last part as I have hit a blind spot. I have pasted the whole question as it has information to help get to the answer.

Can't copy the diagram but it is a circle with A-G written in alphabetical order around it

Thank You
Ess30
Posts: 140
Joined: Tue Feb 18, 2014 3:15 pm

Re: Past paper question

Post by Ess30 »

It's basically simultaneous equations - but I suspect you could do it in a simpler way - eg ratios.
russet
Posts: 243
Joined: Sat Aug 10, 2013 12:46 pm

Re: Past paper question

Post by russet »

In each ticket cost, the whole trip is done once then one stage of the journey is missing. Therefore for all three tickets the journey will be done 5 times. So adding the costs and dividing by 5 will give the answer.
mystery
Posts: 8927
Joined: Tue Jul 21, 2009 10:56 pm

Re: Past paper question

Post by mystery »

Stage ef plus stage fg = 82
Stage ef plus stage ef plus stage fg = 117

Subtract first sentence from second sentence

Stage ef = 117 less 82 = 35

Put this into sentence 1

Stage fg = 82 less 35 = 47

Do last part in a similar way. Write out the three facts you are given in this way splitting them out into the fare stages gh, hi, ij. You will then see by adding all three statements that the explanation given by the contributor above is the case.

You will get by adding all three that 5gh plus 5hi plus 5ij is £3.50

So one whole trip from g to I is 3.50 divided by 5.

It is completely independent of the previous parts.
wildwest
Posts: 305
Joined: Sat Apr 20, 2013 6:27 am

Re: Past paper question

Post by wildwest »

""Last question was the most difficult and was about a bus route with a number of buses joining the route at various stops. How long would a journey take and what was the average time/speed? What distance did they travel? What buses stopped here? "

This is the quote from Birmingham section. Is this the same question?

I've tried to find a similar one but can't find any where buses join routes at various parts!! Has anyone else come across it?
leanmeamum
Posts: 736
Joined: Sat Dec 03, 2011 4:14 pm

Re: Past paper question

Post by leanmeamum »

Thank You for the help.

It is not from Birmingham paper but a Habs past paper
mystery
Posts: 8927
Joined: Tue Jul 21, 2009 10:56 pm

Re: Past paper question

Post by mystery »

It is a very dull question. Is the rest of the paper like that? Think it must have been written by someone my age - I remember fare stages on the buses. Don't suppose children these days have a clue about them.
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