SAT Math - Word Problems Short Cuts

SAT Math - Word Problems Short Cuts
Guinness And Math Guy

In this video, I show you how solve work problems in the Mathematics section of SAT.

Thanks for watching and we hope this video was helpful!

Please feel free to leave any questions or comments you may have regarding it in the section below.

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[crazymind]

since work is same so
man × days=man × days
(12M+10W)15=(30M+25W) y days
2(6M+5W)15=5(6M+5W)×(y)days
30=5y days
y=30/5=6 days.

[spiderjump]

30/12=2.5
25/10=2.5
Since there are 2.5 times more people working, the time should be 15/2.5=6

[a.bgamer]

To do this is quite simple
As the people are inversely proportionate to days therefore,
Person = constant × 1/d
i.e Person × days = constant
i.e from 1 we can say that,
Men+ women × 15 = constant
(12+10) × 15= constant
22×15=constant
330= constant
Therefore in 2nd equation,
(Men + women)×days=constant
(30+25)×days= 330
55×days=330
Days=330/55
i.e. Days=6

[paragtalukdar]

Total human in 1st case-22
Total human in 2nd case-55
A/Q
22×15=55×x(where x is the total work)
X=6

[artemia]

I just looked at the total of the people. 22 into 55 goes 2.5 times. 15/2.5 = 6

[tom_something]

So sneaky! I paused the video at the beginning and tried to figure it out. I realized that if we go to extremes (either men do all the work and women do no work, or women do all the work and men do no work), no conclusion could be drawn about the relative work output of men compared to women. So "obviously" it was D. Then I resumed the video. The second you implied most people go for D, as I had, I looked back up at the specific numbers and realized my mistake. It's a very clever question. The sunglasses should have told me something.

[hlicj]

The job is already completed, but if the job is just to sit around for 15 days, it will take 15 days no matter how many they are.

[SuperNovaJinckUFO]

The answer implies the assumption that the task can be divided among an arbitrary amount of people, and the work time is has a linear relationship to the amount of people. (As a counter example, imagine the job they are doing is working 15 days as security guards. In that case it doesn't matter how many people are there, it will always take 15 days) Since those necessary pieces of information aren't given, D is the correct answer.

[parameswaraofficial]

30/12=5/2. And 25/10=5/2. 5/2+5/2=10/2 =15.... 15×2/10=3 days

[rabih]

D is the most logical answer. We could give many exemple why D is more logic.

[akramhussain]

12🧒+10🧑=22, 30🧒+25🧑=55, 55\22=2.5, 15/2.5=6❤

[Nimmu]

We can solve it by inverse proportion too
22 x 15 = X x 15
Answer 6days

[bighorntalks]

Law of diminishing returns, the more people who work a job, the less productive each individual of the workforce becomes, d is correct

[AnthonyDoesYouTube]

How can I know this if I don't know that the numbers are multiplied by 2.5 ?

[juliusjanardhanseptimus]

Extrapolation will give you the answer. The word woman and man is irrelevant. This is a SAT type of question which combines basic math with logic.

The number of persons increases to more than double. If it were exactly double, then it would be 7.5. Go to the nearest approximation, which is 6.

[DominickWalenczak]

Not all work is strictly linear in terms of scaling.

For instance, if it takes 1 person 1 minute to change a lightbulb, how long will it take 10 people? 100 people? 10, 000 people? It also says nothing about the tools involved. If these 12 men have a job of moving wheelbarrows and dumping them into a pit, if the number of tools (wheelbarrows) does not increase, the amount of work performed does not scale.

Lastly, there's the overhead of coordination. If your software design project is running late, how much faster would it get done if you double or triple the staff? In software engineering, adding people is often a sure way of adding delays.

[nayanikachoudhury]

Simply equating u can get it.... 22 x 15= 55 x no. Of days Cancel it out u will get 6..

[ashamehra]

Sir please also share the other quant sum it's a humble request

[hareenkumarmamidi]

Thank you sir, do more videos like this pls

[harveyspector]

Or you could do it by calculating the efficiency method. 12 men and 10 women can do a piece of work in 15 days. So their efficiency is 10:12 that is one man completes 10 works a day and one woman completes 12 works. So total work for a day is 12x10+10x12= 240
Total work for 15 days = 240x15=3600.
Since Total work and efficiencies are same 30 men do 300 works a day and 25 women also 300. So TW for a say is 600.
So total no of days for completing the work = 3600/600=6