# A Level Maths Question - Proportion

Watch this threadPage 1 of 1

Go to first unread

Skip to page:

SenpaiMicro

Badges:
6

Rep:

?
You'll earn badges for being active around the site. Rep gems come when your posts are rated by other community members.
#1

Hello,

I have gotten my account back after I lost my password. I have just received a question on proportion (attached below).

The question does not specify how long the walls are or how many workers there are in total, however I assumed that there are only 2. These are the answers I got:

a) t=6n

b) 2 Workers

c) 20 days.

d) 20 workers

e)The south and West wall

I am not sure if these answers are correct, as I could not use the equation worked out in part a as there is a possibility that the walls are not the same length.

Thanks!

I have gotten my account back after I lost my password. I have just received a question on proportion (attached below).

The question does not specify how long the walls are or how many workers there are in total, however I assumed that there are only 2. These are the answers I got:

a) t=6n

b) 2 Workers

c) 20 days.

d) 20 workers

e)The south and West wall

I am not sure if these answers are correct, as I could not use the equation worked out in part a as there is a possibility that the walls are not the same length.

Thanks!

Last edited by SenpaiMicro; 3 months ago

0

reply

mqb2766

Badges:
19

Rep:

?
You'll earn badges for being active around the site. Rep gems come when your posts are rated by other community members.
#2

Report

#2

(Original post by

Hello,

I have gotten my account back after I lost my password. I have just received a question on proportion (attached below).

The question does not specify how long the walls are or how many workers there are in total, however I assumed that there are only 2. These are the answers I got:

a) t=6n

b) 2 Workers

c) 20 days.

d) 20 workers

e)The south and West wall

I am not sure if these answers are correct, as I could not use the equation worked out in part a as there is a possibility that the walls are not the same length.

Thanks!

**SenpaiMicro**)Hello,

I have gotten my account back after I lost my password. I have just received a question on proportion (attached below).

The question does not specify how long the walls are or how many workers there are in total, however I assumed that there are only 2. These are the answers I got:

a) t=6n

b) 2 Workers

c) 20 days.

d) 20 workers

e)The south and West wall

I am not sure if these answers are correct, as I could not use the equation worked out in part a as there is a possibility that the walls are not the same length.

Thanks!

As usual, upload your working if you want it checked.

0

reply

Muttley79

Badges:
20

Rep:

?
You'll earn badges for being active around the site. Rep gems come when your posts are rated by other community members.
#3

Report

#3

**SenpaiMicro**)

Hello,

I have gotten my account back after I lost my password. I have just received a question on proportion (attached below).

The question does not specify how long the walls are or how many workers there are in total, however I assumed that there are only 2. These are the answers I got:

a) t=6n

b) 2 Workers

c) 20 days.

d) 20 workers

e)The south and West wall

I am not sure if these answers are correct, as I could not use the equation worked out in part a as there is a possibility that the walls are not the same length.

Thanks!

I don't agree with a) if n = 1 the wall takes less time ie 6 days

0

reply

SenpaiMicro

Badges:
6

Rep:

?
You'll earn badges for being active around the site. Rep gems come when your posts are rated by other community members.
#4

(Original post by

We are told its rectangular ...

I don't agree with a) if n = 1 the wall takes less time ie 6 days

**Muttley79**)We are told its rectangular ...

I don't agree with a) if n = 1 the wall takes less time ie 6 days

0

reply

SenpaiMicro

Badges:
6

Rep:

?
You'll earn badges for being active around the site. Rep gems come when your posts are rated by other community members.
#5

(Original post by

As its rectangular, how can the south and west be the shortest?

As usual, upload your working if you want it checked.

**mqb2766**)As its rectangular, how can the south and west be the shortest?

As usual, upload your working if you want it checked.

Total time = 50 days.

Time taken to build the north wall and South wall = 12+8 = 20

50-20 = 30 days

Time taken to build East and West wall = 30 days

Time taken to build East wall = 2*time taken to build the west wall

E = 2W

2W + W = 30

3W = 30

W = 10

Therefore time taken to build the east wall is 20 days.

The south took the least time (8 days) and the west took 10 days. I am not sure if this is right but it is how I worked it out.

0

reply

mqb2766

Badges:
19

Rep:

?
You'll earn badges for being active around the site. Rep gems come when your posts are rated by other community members.
#6

Report

#6

(Original post by

My working was:

Total time = 50 days.

Time taken to build the north wall and South wall = 12+8 = 20

50-20 = 30 days

Time taken to build East and West wall = 30 days

Time taken to build East wall = 2*time taken to build the west wall

E = 2W

2W + W = 30

3W = 30

W = 10

Therefore time taken to build the east wall is 20 days.

The south took the least time (8 days) and the west took 10 days. I am not sure if this is right but it is how I worked it out.

**SenpaiMicro**)My working was:

Total time = 50 days.

Time taken to build the north wall and South wall = 12+8 = 20

50-20 = 30 days

Time taken to build East and West wall = 30 days

Time taken to build East wall = 2*time taken to build the west wall

E = 2W

2W + W = 30

3W = 30

W = 10

Therefore time taken to build the east wall is 20 days.

The south took the least time (8 days) and the west took 10 days. I am not sure if this is right but it is how I worked it out.

Its easier if you state which question part you're answering when you post work.

Note, Im presuming this isnt the answer to e).

Last edited by mqb2766; 3 months ago

0

reply

Badges:
6

Rep:

?
You'll earn badges for being active around the site. Rep gems come when your posts are rated by other community members.
#7

(Original post by

Those times sound about right. So what about the other question parts.

Its easier if you state which question part you're answering when you post work.

Note, Im presuming this isnt the answer to e).

**mqb2766**)Those times sound about right. So what about the other question parts.

Its easier if you state which question part you're answering when you post work.

Note, Im presuming this isnt the answer to e).

0

reply

mqb2766

Badges:
19

Rep:

?
You'll earn badges for being active around the site. Rep gems come when your posts are rated by other community members.
#8

Report

#8

(Original post by

I am stuck on b and d as I am unsure how many workers are present and I am wondering if my answers are right.

**SenpaiMicro**)I am stuck on b and d as I am unsure how many workers are present and I am wondering if my answers are right.

What did you get for a) and how will it relate to b)?

Note a sketch of the problem and annotating with num of people, times, ... would probably help.

Last edited by mqb2766; 3 months ago

0

reply

Badges:
6

Rep:

?
You'll earn badges for being active around the site. Rep gems come when your posts are rated by other community members.
#9

(Original post by

Your times for the different walls seem right.

What did you get for a) and how will it relate to b)?

Note a sketch of the problem and annotating with num of people, times, ... would probably help.

**mqb2766**)Your times for the different walls seem right.

What did you get for a) and how will it relate to b)?

Note a sketch of the problem and annotating with num of people, times, ... would probably help.

0

reply

Badges:
19

Rep:

?
You'll earn badges for being active around the site. Rep gems come when your posts are rated by other community members.
#10

Report

#10

(Original post by

I was thinking that the expression for the time taken for each of the walls would be different as the lengths of the walls may be different to that of the North wall so I was thinking the constant of 6 would only apply to the North wall and therefore I cant use it for any of the other walls. Am I able to use this constant for the other walls despite the difference in length?

**SenpaiMicro**)I was thinking that the expression for the time taken for each of the walls would be different as the lengths of the walls may be different to that of the North wall so I was thinking the constant of 6 would only apply to the North wall and therefore I cant use it for any of the other walls. Am I able to use this constant for the other walls despite the difference in length?

Also think about what the constant represents and how you calculate it.

Drawing a sketch as per the previous post with information marked on is recommended.

Last edited by mqb2766; 3 months ago

0

reply

Badges:
6

Rep:

?
You'll earn badges for being active around the site. Rep gems come when your posts are rated by other community members.
#11

(Original post by

Firstly, its a rectangle so ....

Also think about what the constant represents and how you calculate it.

Drawing a sketch as per the previous post with information marked on

**mqb2766**)Firstly, its a rectangle so ....

Also think about what the constant represents and how you calculate it.

Drawing a sketch as per the previous post with information marked on

a) the time taken to build the wall is inversely proportional to the number of builders.

Therefore, t = k/n

The time taken to build the north wall using 2 builders was 12 days therefore the constant is:

12=k/2

k=24

Therefore the relationship between the number of workers and the time taken is represented as t=24/n

b) It took 8 days to finish the south fence therefore using the equation above we can work out the number of workers as:

8 = 24/n

8n=24

n = 3 (3 workers).

c)

Total time = 50 days.

Time taken to build the north wall and South wall = 12+8 = 20

50-20 = 30 days

Time taken to build East and West wall = 30 days

Time taken to build East wall = 2*time taken to build the west wall

E = 2W

2W + W = 30

3W = 30

W = 10

Therefore the time taken to build the east wall was 20 days.

d) Using the diagram of a rectangle we can see that the length of the west and the east fence are the same. It is stated that it took twice as much time to finish the east than the west wall. Therefore with the workers working at the same rate it must be that there was half as many workers working on the east wall than the west wall therefore 4 builders worked on the west wall.

e) The fences increase in size going from smallest to largest listed below:

South (and North), and west (and East).

Is this correct?

0

reply

Badges:
19

Rep:

?
You'll earn badges for being active around the site. Rep gems come when your posts are rated by other community members.
#12

Report

#12

Agree with that, though e) only asks for the shortest walls.

Last edited by mqb2766; 3 months ago

0

reply

Badges:
6

Rep:

?
You'll earn badges for being active around the site. Rep gems come when your posts are rated by other community members.
#13

(Original post by

Agree with that, though e) only asks for the shortest walls.

**mqb2766**)Agree with that, though e) only asks for the shortest walls.

0

reply

X

Page 1 of 1

Go to first unread

Skip to page:

### Quick Reply

Back

to top

to top