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September 14th, 2016, 04:34 AM   #1
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Simple Maths Problem

Hi,

I am trying to phrase this maths problem easier and have a better understanding of the calculation.

It is a rather simple problem which I cannot find an easier solution to.

20 cars pass a house within 10 minutes. Work out how many cars pass the house in a minute.

20/10 = 2 cars per minute

So every 30 seconds a car goes past the house.

How can I show this as a calculation?

Can I go 1 (1 car) /2 (2 cars) * 60 = 30s?

Or is there a better way??

If I go 20/600 seconds = 0.03 which is the wrong answer.
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September 14th, 2016, 04:45 AM   #2
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convert minutes to seconds.
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September 14th, 2016, 04:48 AM   #3
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Quote:
Originally Posted by abdallahhammam View Post
convert minutes to seconds.
Hi thanks for the reply if I do this I end up with 0.03.

If I go 10/20 * 60 this is 30 seconds but why do I go time/cars not cars/time for the answer?
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September 14th, 2016, 04:54 AM   #4
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20 cars within 10 mn means

20 cars within 600 s

1 car within 600/20=30 s.
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September 14th, 2016, 05:36 AM   #5
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Quote:
Originally Posted by abdallahhammam View Post
20 cars within 10 mn means

20 cars within 600 s

1 car within 600/20=30 s.
Hi this makes sense. I over complicated it by working out the cars per minute first. Could I do it this way?
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September 14th, 2016, 05:45 AM   #6
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1 car within 30s =1/30= 0.03333333 car per second

but 0.033333 car has no sens.
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September 14th, 2016, 07:11 AM   #7
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I like the original reduction to 2 cars per minute to start with.
What's the actual question? I assume it is along the lines of:
"What is the average time between the cars passing the house"
So, convert 2 cars per minute to:
2 cars per 60 seconds (2/60)
reduce to:
1 car per 30 seconds (1/30)
since 1 car per 30 seconds is a frequency, we can convert that to a time period because we know that T = 1/f (Time period is 1/frequency)
so, 1/(1/30) = 30
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September 14th, 2016, 10:02 AM   #8
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Thanks for the help everyone. Really appreciate it. I just got confused in my head about the way to tackle it. Like anything in maths there are numerous ways to tackle a question.
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September 14th, 2016, 11:43 AM   #9
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Sorry here's an other one in regards to a voucher scheme:

500 voucher points = £5

Every £1 spent = 5 voucher points.

Now for the math involved.

I've worked out one voucher =£0.01

As Pound per voucher = £5/500 voucher points

What's the math involved for £1 spent = voucher points?

500 vouchers/£5 = £100 Voucher per pound 500 vouchers/£100 = 5 vouchers

OR
500 vouchers/£5 = £100? So £100/£100 = £1

Is there an other way that is easier lol. Sorry I don't understand how to put it into context. I hate word problems much rather algebra for some reason. I guess I can easily convert this into algebra?

Last edited by dthomas86; September 14th, 2016 at 12:29 PM.
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September 25th, 2016, 08:49 AM   #10
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Quote:
Originally Posted by abdallahhammam View Post
20 cars within 10 mn means

20 cars within 600 s

1 car within 600/20=30 s.

This would give you the seconds per car yes? I've always found division confusion between which number you want as a numerator and denominator when faced with a word puzzle. Is it always what you are trying to find is the numerator?


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