Time and Work Problems - Shortcuts and Tricks

Рет қаралды 449,602

Күн бұрын

This math video tutorial focuses on solving work and time problems using simple tricks and shortcuts. It contains a simple formula that you can use with these problems.
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Пікірлер: 378

@TheOrganicChemistryTutor 6 ай бұрын

Final Exams and Video Playlists: www.video-tutor.net/

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@ghgfrghfrhgdxvgredghhgvfth1573 2 жыл бұрын

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Update us about your exam bro. Btw goodluck

@WinsteinDc 3 жыл бұрын

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this is middle school math though? You must've went to a bad high school

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@devondevon4366 5 жыл бұрын

For the second problem. Mark and Kelly can finish the job in 4 hours working together, but Mark could do it in 6 hours if he worked alone. So in one hour he completes 1/6 of the job: Also in 1 hour both of them could complete 1/4 of the job. We don't yet know what fraction of the job Kelly could complete in 1 hours so set it to be y , therefore Kelly could complete 1/y of the job in 1 hours.. set up the equation . 1/6 (Mark) + 1/y (Kelly)= 1/4 (the fraction of the job both could complete working together so solving for y gives 2 y + 12 =3 y , y=12.. Kelly alone could finish the job in 12 hours

@LarkAnderson-lq1gi 7 сағат бұрын

kelly is a slacker fr

@georgesadler7830 2 жыл бұрын

Mr. Organic Chemistry Tutor, thank you for an excellent analysis on Time and Work Problems- Shortcuts and Tricks in Algebra One/Two. I found word problems challenging, however from watching and do these types of problems increases my understanding of the subject.

@psyphy7672 5 жыл бұрын

Tania Hernandez Baullosa This is wonderful 🌞 This is the first time, since I began studying for the for the GRE, that I understand the working together problems. Thank you so much✍🏻

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@jovanmagtoto1682 3 жыл бұрын

thank you for this sir, my mind became open to difficult problems after I watched your videos. Thank you also for encouraging us to do first the solving before we continue to watch, it helps me to think and analyze also. Thank you

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@mathsmack7515 4 жыл бұрын

bro watch the complete tutorial on time and work kzfaq.info/get/bejne/as6Prc2DrLG5pIk.html

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@extempetus7414 3 жыл бұрын

I'm dumbfounded when I realized that the shortcut formula is just the one you use in parallel circuits resistance and it does make sense now! Of course you will use a parallel solving equation to solve a parallel related problem...

@neverever7821 4 жыл бұрын

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@devondevon4366 5 жыл бұрын

Sally painting 1/3 of that room per hour while John is painting 1/6 of that room per hour. Together they paint half of the room per hour 1/3 +1/6 or 2/6 + 1/6= 3/6 or 1/2 in one hour . Then in two hours they would finish that room when working together. So answer is two hours

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@lightbeing1113 3 жыл бұрын

whew chile...the lisa, karen and tom word problem gave me headache problems lol...Love your videos. It really helped me pass my entrance exam. Thank you alot.

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@TheOrganicChemistryTutor 5 жыл бұрын

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@devondevon4366 5 жыл бұрын

19:02 Lisa , Karen and Tom took 2 hours (working together). Lisa 3 times faster than Tom, and Karen twice (2) as fast as Tom .How long will it take Karen to complete the task on her own? Let 6x (hours) be the time its takes Tom to complete the task ALONE, therefore it will take Lisa 2x (hours) to do so ALONE, AND Karen 3x (hours) to do so ALONE. Therefore, it would take all three to complete the task in an HOUR by the following equation 1/6x (tom) + 1/2x(lisa) + 1/3x (karen) = 1/2 1 + 3 + 2 =3 x or 6=3x or x =2.. recall tom is 6x , so 6x2= 12hrs, lisa 2x, so 2x2= 4hrs and karen 3x so 3 x 2= 6 hrs. Answer : it will take KAREN 6 hours to complete the task on her own.

@abejueladanieljaymarkc.4062 4 жыл бұрын

hey i just wanna ask how did you get tom's hours did you multiply the 3×2? from lisa and karen? also how did you get lisa and karen's time? did you divide 6x to 3 for lisa and 2 for karen?? HOPE U'LL ANSWER THISSS TIA!!!!!

@devondevon4366 4 жыл бұрын

@@abejueladanieljaymarkc.4062 You can use x for Tom or 6x (or any other unknown, 9x, 100x, etc.), but make sure that Lisa is 1/3 of Tom's unknown and Karen is 1/2 of Tom's unknown. I used 6x for Tom since, for me, it was easier to get 3x and 2x for Lisa and Karen, respectively. Let us use 'x' instead for Tom; then the fraction of the work he would do in one hour is 1/x and the fraction Lisa would do = 3(1/x) or 3/x and the fraction Karen would do = 2(1/x) or 2/x since Lisa and Karen worked 3 and 2 times as fast as him, respectively. All three completed their fraction of the work per hour by this equation 1/x + 3/x + 2/x= 1/2 = 6/x= 1/2 6 x 2= 1. x (cross multiply) = 12= x, so Tom would complete 1/12th of the work in 1 hour, so he would complete the ENTIRE work in 12 hours. Still, since Lisa worked three times as fast as Tom, she would complete it in 4 hours (12 divided by 3) by herself, and since Karen worked twice as fast as Tom, she would complete it alone in 6 hours (12 divided by 2). If I had used '6x' instead for Tom, then (if done correctly, x would =2) and I would have to multiply 6 by 2 to get 12 for Tom and divide 12 by 3 to get Lisa's 4 hours ( since she worked three times as fast as Tom) and also divide 12 by 2 to get Karen's 3 hours(since she worked twice as fast as Tom) If I had used '3x' for Tom, then I would have to use 'x' for Lisa and '1.5'x for Karen ( and if done correctly, x =4, which would be Lisa) and would have to multiply 4 x 3 to get Tom (12) and would have to multiply 4 by 1.5 to get Karen's (6) or divide 12 by 2 to get Karen's (6). So it doesn't matter if I used 'x' or '6x', etc., for Tom, provided I used 1/3 of Tom's unknown for Lisa and 1/2 of Tom's unknown for Karen.

@abejueladanieljaymarkc.4062 4 жыл бұрын

@@devondevon4366 OMG!! Thankyou so muchhhhh i understand better now thankyouuu :>>>>>

@benmangubat8005 5 жыл бұрын

Really amazing vid

@amethyst5805 3 жыл бұрын

thank you very much! 🤎

@christianfrizzell6919 4 жыл бұрын

No ads, no shoutouts, just helping with math 🙏

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KZfaq is the best teacher

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@user-kq3bx4nz7m 17 күн бұрын

Hello! I noticed a pattern whenever we're dealing with 3 people. Basically the formula (follow the same flow from the og formula) is 1/x = 1/2x + 1/3x +1/6x It's just my own theory so feel free to use it at your own risk.

@ext321 5 жыл бұрын

Thank you so muchhh

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Thank you

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Thanks a million

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Wonderful!

@360noscopekill 6 жыл бұрын

Would you ever go over how to use proper grammar and punctuation? Love your videos!

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RedMonkey he a math person not English lol

@jesuisravi 5 жыл бұрын

@redmonkey: asshole

@inferious777 6 жыл бұрын

Another way to solve these kind of problems (or the logic behind it) is to assume that to complete a task you require 100 work units, you can then use the amount of time taken from each worker how much work units they can complete in 1 hour, you add them up to find out the amount of work units done by everyone working simultaneously in 1 hour and divide 100 work units by it.

@RoohaAli 4 жыл бұрын

Kindly write example for better elaboration. Write 8:04 for this question