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a fanboy

a fanboy

Posts: 48Bronze Posts by user Forum Profile RuneMetrics Profile
When AL and George ran a 100 meter race. Al won by 5 meters. so to give George a chance they raced again, but this time Al started 5 meters behind the starting line. each man ran the at the same speed as in the first race. what were the results of the second race.

A) Al won
B) George won
C) It was a tie

*According to the answer sheet in front of me it says that Al won. I just want you guys to explain.

**This is not runescape related but it is a forum game. So you can't sew me. "Kill them all and let God sort them out."
"Report everybody in the game, even if they aren't bots. Let Jagex sort it out."

11-Jan-2014 02:30:37

a fanboy

a fanboy

Posts: 48Bronze Posts by user Forum Profile RuneMetrics Profile
Answer below.
--------------------Spoiler-------------------------------------------------------


Of course Al won. I know you maybe wondering why Al won. When doing problems like these you will have to make extreme examples.

Ex1) If Alice and George ran a 100 meter race and Alice won by 50 meters than doesn't that mean Alice is 2 times faster? So we can conclude Alice will always be two times faster than George will ever be.

Now lets imagine that Alice gave George a chance just like what Al did. Alice started 50 meters behind in the 100 meter race.

Here is what happens: (If you need to draw this on paper please do) Since Alice is 2 times faster than George. When Alice reaches the -20 meter mark (negative twenty-five meter mark) George would have reached the 15 meter mark. When Alice reaches the 0 meter mark. George would be at the 25 meter mark. When Alice is at the 50 meter mark then George will also be at the 50 meter mark. When Alice is at the 100 meter mark (finishes the race) George would be at the 75 meter mark.

Ex2) Lets say Rob and George were racing. When Rob reaches to the 100 meter mark (finishes race) George would be at the 1 meter mark. So Rob did what Al and Alice did and Rob started at -100 meters while George started at 0 meters. If Rob reaches to 0 meters then George would have gone to 1 meter. If Rob finishes the race the George would have only gotten to 2 meters.

----
So this is the reason why Al would have beaten George even at a huge set back. "Even if Al has been set back by 5 meters Al could still beat George by 1/4 of a meter" -according to my big brother
If you have any questions ask in this thread please. And if you enjoyed or if you think your friends will enjoy this then please share this to everyone in the runescape community for us all. "Kill them all and let God sort them out."
"Report everybody in the game, even if they aren't bots. Let Jagex sort it out."

11-Jan-2014 05:37:00 - Last edited on 14-Jan-2015 01:38:18 by a fanboy

Jokku23

Jokku23

Posts: 33,737Sapphire Posts by user Forum Profile RuneMetrics Profile
Cool.

Another thing that is cool:

You said Alice won George by 50 meters. This means she was twice as fast as George.

Now if Alice started 50 meters behind in the 100 meter race, George would be at the 75 meter mark when Alice finishes.

But, if this was for real, their velocity wouldn't be constant. Let's have a legit real life race.

Alice won George by 50 meters in the 100 meter race. Since "When Alice is at the 100 meter mark (finishes the race) George would be at the 75 meter mark.", let's let George start at 25 meter mark, so George would only run 75 meters, Alice 150 meters.

A) Alice won
B) George won
C) It was a tie

I'll post the answer later.
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14-Jan-2015 14:46:09

Twillow
Aug
fmod Gold Premier Club Member
2005

Twillow

Forum Moderator Posts: 41,063Sapphire Posts by user Forum Profile RuneMetrics Profile
The author, a fanboy, hasn't posted on in forum games for 5 years. There isn't an objective to attain here as the answer has been given by the author. Without an objective, it isn't a game. It could be a discussion regarding the explanation, though. If the author returns to the forums, he is free to re-make it in Off-Topic.
We'll let you skip puzzles when you let us skip bosses. ~Foxxie
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05-Jul-2019 20:50:15

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