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woshiibreak · 04-08-2010, 04:27 AM

I've been trying to figure this out for about an hour.. but to no avail.

In words:
Three boys ran in a race. Their total time was 24 minutes.
Bill ran 3 minutes quicker than Peter.
Michael ran 3 times quicker than Bill.
Find the race times of each boy.

tl;dr:
x + 3 = y
y * 3 = z
x + y + z = 24

From what I've gotten:

x + (x+3) + 3 (x+3) = 24

5x + 12 = 24
x = 12 / 5
y = 12 / 5 + 3
y = 27 / 5
z = y x 3
z = 81/5

Therefore

x = 2.4
y = 5.4
z = 16.2

Is this right? I've asked several people, but they've gotten different answers.

inb4doyourhomeworkyourself

Thanks.

power_gamer_6 · 04-08-2010, 04:39 AM

Quote:

Originally Posted by woshiibreak

I've been trying to figure this out for about an hour.. but to no avail.

In words:
Three boys ran in a race. Their total time was 24 minutes.
Bill ran 3 minutes quicker than Peter.
Michael ran 3 times quicker than Bill.
Find the race times of each boy.

tl;dr:
x + 3 = y
y * 3 = z
x + y + z = 24

From what I've gotten:

x + (x+3) + 3 (x+3) = 24

5x + 12 = 24
x = 12 / 5
y = 12 / 5 + 3
y = 27 / 5
z = y x 3
z = 81/5

Therefore

x = 2.4
y = 5.4
z = 16.2

Is this right? I've asked several people, but they've gotten different answers.

inb4doyourhomeworkyourself

Thanks.

Maybe you should go back and ask your buddies at PC World!

THREAD LOCKED CAUSE WOSHII IS A B!TCH. how could you, woshii, how could you...

hobosexual · 04-08-2010, 04:41 AM

Well my name is Michael and I'm pretty fast so this makes sense I guess.

But yeah it's right.

Quote:

Originally Posted by power_gamer_6

Maybe you should go back and ask your buddies at PC World!

THREAD LOCKED CAUSE WOSHII IS A B!TCH. how could you, woshii, how could you...

u have no power here, sir.

MarchoftheBlackLions · 04-08-2010, 04:45 AM

Quote:

Originally Posted by power_gamer_6

Maybe you should go back and ask your buddies at PC World!

THREAD LOCKED CAUSE WOSHII IS A B!TCH. how could you, woshii, how could you...

I saw that too. I am disappoint.

Paladuck · 04-08-2010, 06:56 AM

B, p, m

b=p-3 (bill ran 3 mins faster than peter, so peter's time minus 3 equals bill's time)
-->p=b+3 (solve for p)
m=b/3 (michael was 3 times quicker than bill, so if you take bill's time and divide it by 3 you get michael's)

b+p+m=24 (the three equal 24)

b+(b+3)+(b/3)=24 (solve for b)
3b/3 + (3b+9)/3 + b/3 = 72/3 (find common denominator)
(4b + 3b + 9)/3 = 72/3 (combine)
7b+9=72 (multiply both sides by 3 to get rid of fraction)
7b=63

b=9
m=3
p=12

b+m+p = 24

MageMoa · 04-08-2010, 05:04 PM

Quote:

Originally Posted by Paladuck

B, p, m

b=p-3 (bill ran 3 mins faster than peter, so peter's time minus 3 equals bill's time)
-->p=b+3 (solve for p)
m=b/3 (michael was 3 times quicker than bill, so if you take bill's time and divide it by 3 you get michael's)

b+p+m=24 (the three equal 24)

b+(b+3)+(b/3)=24 (solve for b)
3b/3 + (3b+9)/3 + b/3 = 72/3 (find common denominator)
(4b + 3b + 9)/3 = 72/3 (combine)
7b+9=72 (multiply both sides by 3 to get rid of fraction)
7b=63

b=9
m=3
p=12

b+m+p = 24

Moa got this :l

Raiyne · 04-08-2010, 05:11 PM

Bill ran 3 minutes quicker means his time was 3 minutes shorter than Peter's.

That's where your x + 3 = y is wrong.

woshiibreak · 04-09-2010, 04:33 AM

Quote:

Originally Posted by Raiyne

Bill ran 3 minutes quicker means his time was 3 minutes shorter than Peter's.

That's where your x + 3 = y is wrong.

Oh, right. Everything is just reversed then..? y is Peter, x is Bill. So it should be x / 3 = z? These things confuse me..

EIi · 04-09-2010, 04:48 AM

damn my lack of math skills.

Raiyne · 04-09-2010, 04:57 AM

Quote:

Originally Posted by woshiibreak

Oh, right. Everything is just reversed then..? y is Peter, x is Bill. So it should be x / 3 = z? These things confuse me..

Ya lol.

Or your could reverse the first equation as well.

ezpz.

04-08-2010, 04:27 AM	#1 (permalink)
woshiibreak Murxidon's Maid Join Date: Jan 2007 Location: Auckland, New Zealand Posts: 2,125 Reputation: 74	Maths Question I've been trying to figure this out for about an hour.. but to no avail. In words: Three boys ran in a race. Their total time was 24 minutes. Bill ran 3 minutes quicker than Peter. Michael ran 3 times quicker than Bill. Find the race times of each boy. tl;dr: x + 3 = y y * 3 = z x + y + z = 24 From what I've gotten: x + (x+3) + 3 (x+3) = 24 5x + 12 = 24 x = 12 / 5 y = 12 / 5 + 3 y = 27 / 5 z = y x 3 z = 81/5 Therefore x = 2.4 y = 5.4 z = 16.2 Is this right? I've asked several people, but they've gotten different answers. inb4doyourhomeworkyourself Thanks.

04-08-2010, 06:56 AM	#5 (permalink)
Paladuck Roon's Rogue Join Date: Oct 2008 Location: The Pond Posts: 4,270 Reputation: 260	B, p, m b=p-3 (bill ran 3 mins faster than peter, so peter's time minus 3 equals bill's time) -->p=b+3 (solve for p) m=b/3 (michael was 3 times quicker than bill, so if you take bill's time and divide it by 3 you get michael's) b+p+m=24 (the three equal 24) b+(b+3)+(b/3)=24 (solve for b) 3b/3 + (3b+9)/3 + b/3 = 72/3 (find common denominator) (4b + 3b + 9)/3 = 72/3 (combine) 7b+9=72 (multiply both sides by 3 to get rid of fraction) 7b=63 b=9 m=3 p=12 b+m+p = 24 __________________ Last edited by Paladuck; 04-08-2010 at 07:02 AM.

04-08-2010, 05:11 PM	#7 (permalink)
Raiyne Feedbacker Join Date: May 2006 Location: The Middle of the Stairs Posts: 13,389 Reputation: 126	Bill ran 3 minutes quicker means his time was 3 minutes shorter than Peter's. That's where your x + 3 = y is wrong. __________________ Everytime I post, I think Murph is about to BROFIST me. -- Loric Last.fm Hey Raiyne

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04-09-2010, 04:48 AM	#9 (permalink)
EIi Banned Join Date: Jan 2010 Posts: 469 Reputation: 33	damn my lack of math skills.