I do find value in your reasoning approach..I loved your approach on the first question and also the ratio approach for the rest questions...😊
@philipalexakis1190
3 жыл бұрын
You sir just blew my mind, how in the world you solved the 3rd problem without algebra jesus christ, really good job there
@cristina5593
2 жыл бұрын
Thank you!!
@suanlazi790
Жыл бұрын
Very refreshing and helpful approaches, thanks 🙏
@ksramanv97
2 жыл бұрын
Find someone who looks at you the way Avi looks at ratios :)
@QuantReasoning
2 жыл бұрын
HAHA
@aricoleman5802
3 жыл бұрын
Excellent logic
@karandhanak6015
Жыл бұрын
Is it possible to solve this using ratios logics? Lindsay can paint 1/x of a certain room in 20 minutes. What fraction of the same room can Joseph paint in 20 minutes if the two of them can paint the room in an hour, working together at their respective rates?
@QuantReasoning
Жыл бұрын
Theoretically, yes, but it wouldn't be any quicker/cleaner than an algebraic solution. That's what happens with unofficial, 3rd party GMAT problems.
@karandhanak6015
Жыл бұрын
@@QuantReasoning But how would one use ratios where we need to find Work done. Please guide.
@QuantReasoning
Жыл бұрын
Can you give an example of a GMAC official problem?
@AkshatGupta-ui7cf
Жыл бұрын
sir how can i solve this question with the help of ratio table Circular gears P and Q start rotating at the same time at constant speeds. Gear P makes 10 revolutions per minute and Gear Q makes 40 revolutions per minute. How many seconds after the gears start rotating will gear Q have made exactly 6 more revolutions than gear P ?
@QuantReasoning
Жыл бұрын
Ratio of the rates of P:Q:Diff is 1:4:3 The reason I have a column for the Difference between them is that that's what the question is about - note the words "more than" in the question stem (How many seconds after the gears start rotating will gear Q have made exactly 6 MORE revolutions THAN gear P ?) We want the difference to be 6, so the scale factor is 2, P=2 and Q=8. Now I can rephrase the question to :"how many seconds would it take P to make 2 revolutions?" (or alternatively "how many seconds would it take Q to make 8 revolutions?") P does 10 revolutions in a minute, so 2 revolutions would take him 1/5 of a minute (since 2 is 1/5 of 10).
@karandhanak6015
Жыл бұрын
Can you help point to error in my logic or what am i doing wrong? Lets say you are driving 5mph faster for 1 hour longer.. u drive 70miles more.. now if you drive for 2 hrs...you would have driven 140 miles more. So you travel 140 miles more driving at 5mph more for 2 hrs. Now if the speed were 10mph more instead of 5mph more... wouldnt the difference from actual be double of 140 ie 280 miles? I know I am wrong but I need someone to help point the error in reasoning.
@QuantReasoning
Жыл бұрын
Increasing your speed by 10mph doesn’t mean your speed is double what it would have been had you increased your speed by 5mph. That would only be true if your original speed was 0.
@thapelolefhoko5510
3 жыл бұрын
Well actually, the first approach using the speed-time coordinates is not resonating very well with me. My mind finds it hard to understand the reasoning using that approach. Is there any other reasoning-based approach you might know?
@QuantReasoning
3 жыл бұрын
@Thapelo Lefhoko I'm afraid I can't think of another way to reason through this problem in a 2-minute time frame. But I invite others to comment here if they can think of another reasoning-based approach!
@thapelolefhoko5510
3 жыл бұрын
@@QuantReasoning well.. I guess if d+70=(s+5)(t+1), then 70 =s +5t+5. The new distance is d+x=(s+10)(t+2), then x=2s+10t+20. In terms of the first equation its x=2(s+5t+10) or x=2(s+5t+5)+10. Proving that x=(70)(2)+10=150. Very algebra based solution I know but it feels to me like using a geometry based solution is similarly as flawed as an algebra based solution in this particular case.
@QuantReasoning
3 жыл бұрын
Yes, well done - that's the algebraic solution. Remember, though: while at the test center our goal is to pick the right answer in under 2 minutes, at home our goal is very different - we want to learn as much as possible from each problem, and use it to advance our reasoning - it's the only way to push our score up significantly over time. I'm not convinced that the algebraic solution would do that for most people.
@thapelolefhoko5510
3 жыл бұрын
@@QuantReasoning Fair point Avi.. I'll continue to keep that in mind. And I love your approach by the way..
@jp7256
3 жыл бұрын
@@QuantReasoning Hi Avi, I found this problem to be very easy, here is how I did it: When you can drive an additional 70 m in one hour, your speed has to be 70 m/h! And because you were 5 m/h faster than before, the original speed was 65. When you drive 10 m/h faster, you are now driving 75 m/h and can drive 150 miles in 2 hours (75 * 2). Looking forward to feedback to this approach and greetings from Germany!
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