# A Van delivered wood to two firms in a week. the following details are available.

A Van delivered wood to two firms in a week. the following details are available.

Firm Weight of wood delivered Distance covered
(kilograms) (kilometres)

P 200 250

Q 500 800

The Van cost \$675,000 to operate for the week. Each delivery was carried separately and there were no other deliveries during the week.

What is the cost per kilogram/ kilometre of wood delivered in the week (to the nearest \$0.01)?

May 2nd 2014

## 8 Replies

+1 Vote

You have to calculate total kilogram-kilometres and divide total cost by that figure:
200 x 250 = 50,000
500 x 800=400,000

So in total: 50,000 + 400,000 = 450,000 kg-km

Therefore cost per kg-km = \$675,000/450,000 = \$1.5 per kg-km.

Hope this helps.

P.S. Note that although sometimes written like that, it's not kg/km (meaning kg divided by km), rather it's kg multiplied by km, that's why I prefer to write it with "-", not with "/".

May 12th 2014 400 Points

May be :-
kg p q
200 500
1 : 2.5
so
q = 2.5 p
200p+500(2.5)p=675000
200p+1250p=675000
p=465.51
q=
200(465.51)+500q=675000
93102+500q=675000
500q=675000-93102
q=1163.79
is it correct

May 5th 2014 260 Points
Edited May 5th 2014 AN ACCA USER
You have to calculate total kilogram-kilometres and divide total cost by that figure:
200*250=50,000
500*800=400,000

So in total: 50,000+400,000=450,000

Therefore cost per kg-km = \$675,000/450,000 = \$1.5 per kg-km.

Hope this helps

P.S. Note that although sometimes written like that, it's not kg/km (meaning kg divided by km), rather it's kg multiplied by km, that's why I prefer to write it with "-", not with "/".
May 12th 2014 400 Points
Reshown February 12th 2015 AN ACCA USER

P.S. is awesome.
you mean cost per kilogram per kilometer is cost/(kg*km) ain't it?
Or say cost per kilometer per kilogram means the same.
The same mathematical expression can be written as
cost/(kg*km) = (Cost/kg)/km
Now try expressing (Cost/kg)/km into words....

Thanks again

May 16th 2014 8,730 Points
P.S. is awesome.
you mean cost per kilogram per kilometer is cost/(kg*km) ain't it?
May 16th 2014 8,730 Points
Mathematically your reasoning for cost per kg per km is correct, but with this wording it doesn't mean anything to me, and it's not what I'm talking about. (Do I "sound" rude? It seems to me I'm "talking" rudely...)
Cost per kg/km will be cost/(kg/km) which is different to (cost/kg)/km, but we need cost/(kg*km) and it's the same as (cost/kg)/km. I don't write cost per kg*km because "*" looks somewhat weird in writing.
Anyway it's not an important issue for test-takers, just a side note. (You can see the same thing in kilowatt-hour used to measure electricity usage, it's also multiplication, and is written separately or with "-" but not with "/".)
P.S. By the way, today I took and passed F2, and I wish everyone here who has not yet passed the exam good luck and easy pass in their exams :)
May 16th 2014 400 Points