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Hi GMATters,
My newest blog post gives you a selection of eight Official GMAT Rates questions with in-depth video explanations that are not otherwise available on my YouTube.
The entire guide is published on the site, but I have provided the option to download as a takeaway PDF:
https://yourgmatcoach.com/gmat-work-and-rate-problems-mini-course-with-videos/
Enjoy!
Rowan
---------
Here's a sample:
GMAT Work and Rate problems might seem like a pain in the ass, but they don’t have to be.
The fact that these questions look worse than they truly are just comes down to over-complicated methodology and dubious pedagogy.
This little group of videos is here to teach you a new way to think about GMAT Rates questions–one that is intentionally flexible so that you will be able to apply these short lessons to live GMAT Work questions.
GMAT Rates Video 1: Bob Does Pointless Things Down by the River
After driving to a riverfront parking lot, Bob plans to run south along the river, turn around, and return to the parking lot, running north along the same path. After running 3.25 miles south, he decides to run for only 50 minutes more. If Bob runs at a constant rate of 8 minutes per mile, how many miles farther south can he run and still be able to return to the parking lot in 50 minutes?
(A) 1.5 (B) 2.25 (C) 3.0 (D) 3.25 (E) 4.75
What’s special about this type of GMAT Work and Rate problems? I’ve chosen it specifically because it’s a question that annoys the crap out of people because it has a lot of back-and-forth.
First, note the rate: 8 minutes per mile. (Note that there’s something awkward about this. We’ll deal with it later.)
Second, it’s easiest just to draw a picture to figure out what the question itself is actually talking about.
That is, notice that Bob actually travels a certain distance–then looks at his watch, noting that he needs to be back to his car in 50 minutes–then keeps going in the same direction! It’s really quite odd. If he knows he needs to be home soon, why not just turn around?
Because this is a GMAT question.
So set it up as in the video: start the clock where Bob looks at his watch.
That first 3.25 miles is actually irrelevant. The distance that he travels farther south is our variable, x.
Therefore, he travels x miles farther south and 3.25 + x miles back to his car. That’s our distance.
Third, Plug it all into d = r * t.
Notice that our rate of 8 minutes per mile won’t work because the units don’t cancel properly. Rather, we’ll have to change this to 1⁄8 miles per minute (remember, for d = r*t, a rate will always be distance/time).
REMEMBER: ALWAYS CHECK YOUR UNITS.
Now this all works out. Just algebra from this point–with a little bit of adjusting the numbers by converting decimals to fractions, we get the answer as x = 3/2 miles = 1.5 miles.
Click the video for the full explanation...
------
Read the rest here... https://yourgmatcoach.com/gmat-work-and-rate-problems-mini-course-with-videos/
My newest blog post gives you a selection of eight Official GMAT Rates questions with in-depth video explanations that are not otherwise available on my YouTube.
The entire guide is published on the site, but I have provided the option to download as a takeaway PDF:
https://yourgmatcoach.com/gmat-work-and-rate-problems-mini-course-with-videos/
Enjoy!
Rowan
---------
Here's a sample:
GMAT Work and Rate problems might seem like a pain in the ass, but they don’t have to be.
The fact that these questions look worse than they truly are just comes down to over-complicated methodology and dubious pedagogy.
This little group of videos is here to teach you a new way to think about GMAT Rates questions–one that is intentionally flexible so that you will be able to apply these short lessons to live GMAT Work questions.
GMAT Rates Video 1: Bob Does Pointless Things Down by the River
After driving to a riverfront parking lot, Bob plans to run south along the river, turn around, and return to the parking lot, running north along the same path. After running 3.25 miles south, he decides to run for only 50 minutes more. If Bob runs at a constant rate of 8 minutes per mile, how many miles farther south can he run and still be able to return to the parking lot in 50 minutes?
(A) 1.5 (B) 2.25 (C) 3.0 (D) 3.25 (E) 4.75
What’s special about this type of GMAT Work and Rate problems? I’ve chosen it specifically because it’s a question that annoys the crap out of people because it has a lot of back-and-forth.
First, note the rate: 8 minutes per mile. (Note that there’s something awkward about this. We’ll deal with it later.)
Second, it’s easiest just to draw a picture to figure out what the question itself is actually talking about.
That is, notice that Bob actually travels a certain distance–then looks at his watch, noting that he needs to be back to his car in 50 minutes–then keeps going in the same direction! It’s really quite odd. If he knows he needs to be home soon, why not just turn around?
Because this is a GMAT question.
So set it up as in the video: start the clock where Bob looks at his watch.
That first 3.25 miles is actually irrelevant. The distance that he travels farther south is our variable, x.
Therefore, he travels x miles farther south and 3.25 + x miles back to his car. That’s our distance.
Third, Plug it all into d = r * t.
Notice that our rate of 8 minutes per mile won’t work because the units don’t cancel properly. Rather, we’ll have to change this to 1⁄8 miles per minute (remember, for d = r*t, a rate will always be distance/time).
REMEMBER: ALWAYS CHECK YOUR UNITS.
Now this all works out. Just algebra from this point–with a little bit of adjusting the numbers by converting decimals to fractions, we get the answer as x = 3/2 miles = 1.5 miles.
Click the video for the full explanation...
------
Read the rest here... https://yourgmatcoach.com/gmat-work-and-rate-problems-mini-course-with-videos/
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