Posted by **???E** on Tuesday, December 30, 2008 at 10:11pm.

in a week Mike ran 8km 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?

- algebra -
**bobpursley**, Tuesday, December 30, 2008 at 10:19pm
M=B+8

P+1=3B

P-15=M

put them in standard form..

M-B=8

P-3B=-1

P-M=15

Subtract the last from the middle..

-3B+M=-16

Now subtract the first equation.

-2B=-24

B=12

check me. If correct, then finish up the others.

- algebra -
**ehelptutor**, Tuesday, December 30, 2008 at 10:21pm
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.

- algebra -
**???E**, Tuesday, December 30, 2008 at 10:32pm
thanks

## Answer This Question

## Related Questions

- algebra - Mike said, last week I ran 15 miles farther than Bill. Pete said Last ...
- Math - Bill and Harry are practicing for a track meet. Last week, Bill ran 900 ...
- PSAT - Math - Hello, I am reviewing my psat and looking at the questions I got ...
- math - company A:1/5 company B:4/25 company C:2/5 company D:3/20 BILL AND ANDY ...
- algebra - Give the answed of the question Doreen ran 4 miles farther than ludy. ...
- math - Four runners ran the relay, Bill ran his lap in 22.738 seconds, Troy ran ...
- MATH - DAN,DEBBIE,ED AND GENE WERE TRAINING FOR CROSS-COUNTRY RACING. ED RAN ...
- Math - Karen ran 42 miles in 6 days. On Sunday she ran 12 miles. Each of the ...
- math - Quest 1: Tammy ran three times last week. Here are the distances she ran...
- math - pete had 12 peanuts. he gave bill 1/3. how many does bill have

More Related Questions