Maths Question

[power_gamer_6]

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...

[MarchoftheBlackLions]

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]

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]

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]

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]

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..