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 Post subject: maths
PostPosted: Wed Oct 28, 2009 11:36 am 
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Joined: Sat Jun 21, 2008 11:56 am
Posts: 22
Hi

Can someone help to work out this please.

Paul walked 6km then got a lift in a car for 16km which was two thirds of the remaining distance.
How far does he have to travel to complete his trip.

(a) 21km
(b) 22km
(c) 23km
(d) 24km

can you please explain.

Thanks for your help

Regards

Uma


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 Post subject: Re: maths
PostPosted: Wed Oct 28, 2009 11:44 am 
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Joined: Fri Mar 20, 2009 7:34 pm
Posts: 37
Uma wrote:
Hi

Can someone help to work out this please.

Paul walked 6km then got a lift in a car for 16km which was two thirds of the remaining distance.
How far does he have to travel to complete his trip.

(a) 21km
(b) 22km
(c) 23km
(d) 24km


Let x be the remaining distance. We want to work out what x is.

We are told that two thirds of the remaining distance is 16 km.

So two thirds of x = 16 km

so 2/3 * x = 16 km
so 2 * x = 16 km *3 (multiply both sides by 3)
so 2* x = 48 km
so x = 48 km / 2 (divide both sides by 2)
so x = 24 km


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 Post subject:
PostPosted: Wed Oct 28, 2009 11:51 am 
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Joined: Tue Jan 01, 2008 1:05 pm
Posts: 515
Two thirds of remaining distance is 16km

Therefore one third is 8km.

Therefore remaining distance is 24km.

Badly worded question though. Without the answers, I would have said the remaining distance to complete the journey could have been the 8km.


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 Post subject:
PostPosted: Wed Oct 28, 2009 8:11 pm 
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Joined: Sun Oct 18, 2009 11:42 pm
Posts: 186
I agree with dadofkent in saying that this is a badly worded question, as are a few at times.
As above, answer is 24km. The question basically means to ask how far does he travel in total, (it makes it sound like how much more to complete his trip, which would have been 8km) :roll: !!


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 Post subject: Re: maths
PostPosted: Wed Oct 28, 2009 11:31 pm 
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Joined: Fri Jul 06, 2007 8:31 pm
Posts: 1192
Uma wrote:
Hi

Can someone help to work out this please.

Paul walked 6km then got a lift in a car for 16km which was two thirds of the remaining distance.
How far does he have to travel to complete his trip.

(a) 21km
(b) 22km
(c) 23km
(d) 24km

can you please explain.

Thanks for your help

Regards

Uma


16km is 2/3rd remaining distance.. so remaining distance is 16*3/2=24km

(d)

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 Post subject:
PostPosted: Thu Oct 29, 2009 12:39 pm 
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Joined: Tue Nov 25, 2008 12:59 pm
Posts: 1268
Classic example of the sort of question that a bright child could easily over-think.

It’s so badly worded that there are at least three different ways the question could be read.


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 Post subject:
PostPosted: Thu Oct 29, 2009 12:46 pm 
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Posts: 8116
with a red herring of 6km thrown in too


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 Post subject:
PostPosted: Thu Oct 29, 2009 12:48 pm 
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Joined: Fri Oct 12, 2007 12:42 pm
Posts: 3814
Location: Chelmsford and pleased
I get the children who struggle with these to draw a rectangle, which represents the whole. In this case the rectangle would be cut into three pieces. We know that two out of three total 16. So each piece has 8 inside. 16 + 8 = 24.

|-------------16-------------|-----?--------|

|____8_____|_____8____|_____8____|


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 Post subject:
PostPosted: Sun Nov 01, 2009 11:07 am 
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Joined: Sat Jun 21, 2008 11:56 am
Posts: 22
Thanks for your help....

Rds

Uma


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