SAT Math - Word Problems Short Cuts
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- เผยแพร่เมื่อ 19 มี.ค. 2023
- 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.
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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.
Your trick is better
EXACTLY @@AngelEntertainments
I like it , sounds logically true👌
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
Exactly 👍
U r answer is more clear than the vedio maker
@@GuinnessAndMathGuy sir answer should be D. It depends on the work. It takes 6-8 months to construct a house. You can't reduce no of days by increasing labourers.
Why we should use divide not subtract? I'm so confuse
I just looked at the total of the people. 22 into 55 goes 2.5 times. 15/2.5 = 6
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
I know this took way more steps but i guess it will help
You can cancel 22/ 55 and will get the answer in 1 step
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
Why 55x?
Why 55x?
@@mahathithrilllfly 22 people in 15 days ..total work= 15*22 = 330
55 people in x days = 330
55*x = 330
x = 6 days
@@acousticalsujit1040 is this physics and you're calculating the work in joules.
rate of work is constant
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.
😅
G mane genius
The question starts with "if"..... If u know what i mean
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.
Thanks for the comprehensive comment, appreciate that. 😊
30/12=5/2. And 25/10=5/2. 5/2+5/2=10/2 =15.... 15×2/10=3 days
Nope 😌
Thank you sir,do more videos like this pls
You are welcome, will do 😊
How can I know this if I don't know that the numbers are multiplied by 2.5 ?
30÷12=2.5
25÷10=2.5
Whatever the men or women number is you have to divide them by previous number. This is how you know.
Then you have to divide the time by the quotient.
Here, 2.5 times more people are working so the time should be 15÷2.5=6.
That's what sat test testing your reasoning for.😅
He's like math Yoda!
12🧒+10🧑=22,30🧒+25🧑=55,55\22=2.5,15/2.5=6❤
Lesser days than I will took the time for solving this problem 😂
Same😢😂
D is the most logical answer. We could give many exemple why D is more logic.
👍
Thank you very much sir.
You are welcome 😊
Law of diminishing returns, the more people who work a job, the less productive each individual of the workforce becomes, d is correct
😅
Solving So fast ❤
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.
Nope 😌
Still cannot be determined
They might be chilling 😂
haha
Nice sir thank you
Thanks for your kind words, and you are welcome. 😊
Nice explanation sir
Love u sir
Thanks for your kind words, appreciate that 😊
Nice explanation sir
Thanks 😊
If it's the same job the others would have nothing to do so it would be 0 Bose 🤣
😂
Ye badya tha guru 🎉🎉
six is a correct answer
Sir please also share the other quant sum it's a humble request
We can solve it by inverse proportion too
22 x 15 = X x 15
Answer 6days
I got this before explanation 😸
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.
Can we solve this equation method? Please answer me
3 is the right answer
Hah mera v 3 ans huya
22*15=55 solve it to get ans
Good
Simply equating u can get it.... 22 x 15= 55 x no. Of days ..... Cancel it out u will get 6..
Exactly 👍
Very nice
Thanks dear 😊
Nice
5 is right.
5 has rejected. 🤣🤣🤣🤣
Time it takes to finish the job is inversely proportional to the number of men and women (combined)
When I was in exam I used to write same question in answer sheet😂😂😂
😂😂😂
Answer 6
6 days
I would've got that right by guessing
At least 100% more days. Since there will be a 2 fold increase in discussion followed by decreased work ethic😂😂😂😂
Well, it depends on how good the men and women are at their jobs.
3 days ans
Rule
W/m2/m1+f2/f1
ans = 3
I just assumed the answer looking the no increase by 50% the answers must be near by 50 which was 6 as per the answers available, i was correct
6days👍
15÷2.5
How to get 2.5?
My assignment it's a word problem
3 days apse phle ans diya video puse krke😅
are they union?
Work = person × Days
Exactly 👍
Ever hear of the mythical Man month?
No dear. What's that? 😌
6
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.
6 is answer
Because of it's clearly 2.5 times, easy to solve. If not, still counting,......?
5
Nope 😌
Why do we need to solve such questions ?
For SAT (mathematics portion).
@@GuinnessAndMathGuy I meant in our practical life where we use these ?
3 Days
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
Exactly 👍
#3
It’s D because I don’t care and I hate math, 😅
First of all, is it t possible to engage so many people on a job which can be completed by half the people.
😂
3days
Nope 😌
2.5 Kahan likha tha 😢
2.5 nahi likha tha.. Par hame pata hain na 12 *2.5 30 hota he... Aur 10*2.5 25 hota hain matalab man power 2.5 se badh gayi to time jo lagga to 2.5 time kam lagega
Answer is 6 days
6day
No. But the answer will be cannot be determined because data is insufficient
In these types of questions conventionally relation between man and woman is either given some how or there are two conditions are given to find out the relation...this is a typical competitive exam question and the answer will be CBD
Nope 😌
@@GuinnessAndMathGuy what NOPE there was a same question in SAT paper and the answer was CBD
6 easy
Exactly 👍
12+10×15=330
330/55=6
That is assuming everyone is evenly fast
5 days
Nope 😌
solve this, if 16 men and 28 women can complete a job in 40 days,how many days will it take for 24 men and 14 women to complete the same job???
13.33 Days
If we use indirect variation then,
K/(16+28) = 40 days
K = 40 × (16+28)
K = 1760, where k is a constant
So, 1760/(24+14) = 46 days, 7 hours and 34 minutes to be exact.
If you use the other method,
(16+28) ×40 = (24+14)×x
1760 = 38x
1760/38 =x = 46 days, 7 hours and 34 minutes to be exact.
😅😅😅
Say what……
3 days
need to go fast.
more people means fewer days
15 days to 5 days is divided by 3
12 times 3 = 36 men...too many men
so more than 5 days are needed.
so "c" is a very quick guess.
D
Nope, not in this case. 😌
55÷2=27.5÷165=6
how it's come to 150/25
By multiplying 15/2.5 with 10/10
Did no one study direct and inverse proportions
And ki jagah OR kro question me.
6 day
Why cnd ...???
Equating work one can do these types of problems
What is cnd? 😌
12 x +10y= 15
30x+25y=?
i just took the total people...22 people 15 days 55 people how much...15*22/55=6
To me to get more people to do the same job doesn't make business sense.
😂
Still confused 😢
(12Man + 10 women) multiple and divide this by 2.5
in numerator you will get (30Man +25Woman) and this numerator will be cancelled with other side ....as now both have become equals.....Thereafter you will have 15 by 2.5
simple way first in 12 mens and 10 women's complete their job in just 15 days then how much days the same job has done by 30 mens and 25 women's so then now divide 30/12 = 2.5 for mens and 25/10=2.5 for womens now we have to calculate days so 15/2.5 = 6 days .
Increase the salary.. Entire job will be done in a day...😅
😂😂😂
2.5+2.5= 5 then 15/5=3days
Nope 😌
👎🏻 No, it is still D.
For example, the job might be something like laying a slab of concrete which takes 15 days to cure.
Or planting seeds and harvesting the sprouts when they're 15 days old.
Or monitoring the 15-day lifecycle of a batch of bacteria.
Or (even worse) hearing each person's opinion and coming to a consensus about some political or spiritual issue.
Or .. etc
Its D, Not enough information given, in this kind of question they need to give 2 terms atleast
There are two terms in the question.
Yeah only an textile manager could answer that kind of ? Whats the catch here!
By the way your great!
Speak hindi
It can't be determined because 15 more women will make it very complicated. . They will gossip a lot among themselves 😂😂
😂😂😂
If 22 men & women require 15 days
then, 1.... = 22 × 15 days
then, 55.... = (22 × 15) / 55 = 6 days
[ Men (12) + Women (10)= 22]
[ Men (30) + Women (25) = 55]
Nice
Thanks dear 😊
6 days