Art of Problem Solving: Draw a Picture

Art of Problem Solving's Richard Rusczyk solves problems by drawing pictures.

[@lukeqiao5477]

you're so good at this this helped me a lot

[@JanexConfetti]

that mountain 'chart'/'picture' looks like a guitar lol

[@lukeqiao5477]

Richard, you overthought the first example problem. You didn't need the last bits of that long problem, you just needed that it took them 43 mins. and 12 secs. (43.2 mins.) to climb 3/4 of the mountain. So, you divide 43.2 mins. by 4 to find out the last 1/4 of the mountain them multiply by 4 to get the same answer but quicker.

[@reemasv]

Wow so cool and helpful

[@rajpanchal9226]

Too cool. Thanks a lot +Art of Problem Solving :)

[@tonyzhao8113]

Soo, if i found this problem in FTW, and I had the maximum 120 seconds, or 2 minutes, how would I be able to answer this in 5 minutes, like you did? Also, if he gets off the train bridge, where does he end up? And, if it takes 20 seconds to get good judgement on which way to go, wouldn't the train already be here?

[@TideKit]

haha

[@namrata.agarwal]

This guy and the other guy is the same. Their voice is the same and check the description even the name is the same

[@TideKit]

You: But seriously don't try this at home. Me: I don't have a train bridge or a train at home so I can't do it!!!

[@Primitive_Code]

LOL.

[@elijahchang7589]

you said that you divide by two, but it's supposed to be dividing by three.

[@yfliu592]

Didn’t include the speed of sound though

[@bookworm83197]

@ 4:20, You say to divide by 2, bur you divide by 3

[@GSHAPIROY]

+Emily Wang He meant divide by 3.

[@imnoahcook]

wait, just wondering. If they climbed up the whole mountain at the same rate, how is it possible that they went a quarter of it taking a different amount of time as a different quarter of it. This is almost as bad as some of the mu alpha theta problems for calculus.

[@Jay-629]

That’s like saying that because it took me 2 minutes for one quarter, 3 minutes for a second, and 2.5 minutes for each of the rest, then it doesn’t add up to the same as 2.5+2.5+2.5+2.5. Both equal 10.

[@kyle77502]

Thanks This is SO Easy

[@kylechang6272]

hahahah

[@imnoahcook]

wait nevermind i realized my mistake.

[@peter_castle]

that's funy even if i don't understand because is speak spanish

[@diorrat..0]

How di’d you write the coMment-

[@maryannesmith5270]

Someone doesn't like books, (if 6 lines are to much) :)

[@richardxu7251]

Richard how can you sound so differently compared to yourself?

[@arthritismutilans]

Your hood is in the way of the question

[@sipdip238]

oof

[@hanzalahqamar5025]

wierdo sick hoodie nd sunglasses though