1. ## Time to Run

In a week mike ran 8km farther than bill,while pete ran 1km less than 3 timesas far as bill. If pete ran 15km farther than mike, how many kilometers did bill run?

MY WORK:

Mike = x + 8km

Bill = x

Pete = 3x - 1km

I got confused with the red words above.

2. Hi there

Originally Posted by magentarita
In a week mike ran 8km farther than bill,while pete ran 1km less than 3 timesas far as bill. If pete ran 15km farther than mike, how many kilometers did bill run?

MY WORK:

Mike = x + 8km

Bill = x

Pete = 3x - 1km

I got confused with the red words above.

These equations are okay,
the last equation is pete = mike + 15 (it means: pete ran 15km farther than mike; and you know already Mike = x + 8km)

I got the solution: bill ran 12 km (mike 20 and pete 35)

Regards, Rapha

3. ## great........

Originally Posted by deleted poster
In a week Mike ran 8 km farther than Bill, while Pete ran 1 km less than 3 times as far as Bill.
If Pete ran 15 km farther than Mike, how many kilometers did Bill run?
Let m be how far Mike ran in km.
Let b be how far Bill ran in km.
Let p be how far Pete ran in km.
The given information is (1), (2), and (3).
(1) m = 8+b
(2) p = 3b – 1
(3) p = 15+m Use (1) to replace m in (3)
(4) p = 15+8+b Use (2) to replace p in (4)
(5) 3b – 1 = 15+8+b Subtract b from both sides. Add 1 to both sides.
(6) 2b = 24 Divide both sides by 2
(7) b = 12
Bill ran 12 km.
Wonderfully done!