algebra

posted by ???E

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?

  1. bobpursley

    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.

  2. ehelptutor

    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.

  3. ???E

    thanks

Respond to this Question

First Name

Your Answer

Similar Questions

  1. PSAT - Math

    Hello, I am reviewing my psat and looking at the questions I got wrong. I can't understand how to do this problem. Mike and paul left their houses at the same time for a fitness run to the park. Mike ran at an average speed of 7 miles …
  2. math

    company A:1/5 company B:4/25 company C:2/5 company D:3/20 BILL AND ANDY WERE RACING TO SEE WHO COULD RUN THE FARTHEST IN 14 MINUTES. BILL RAN 1 5/8 OF A MILE, AND ANDY RAN 1 3/4 OF A MILE. HOW MUCH FARTHER DID ANDY RUN THAN BILL?
  3. MATH

    DAN,DEBBIE,ED AND GENE WERE TRAINING FOR CROSS-COUNTRY RACING. ED RAN TWICE AS FAR AS DEBBIE. GENE RAN 8KM LESS THAN ED. DEBBIE RAN 5KM MORE THAN DAN. DAN RAN 6KM.HOW FAR DID EACH PERSON RUN?
  4. algebra

    Mike said, last week I ran 15 miles farther than Bill. Pete said Last week I ran one mile less than 3 times as far as Bill. If Mike and Pete ran the same distance, how far did Bill run?
  5. math

    Four runners ran the relay, Bill ran his lap in 22.738 seconds, Troy ran in 21.874 seconds, Grace ran in 20.32 second, and Jessica ran 19.047 seconds. Estimate the team's total time to the nearest tenth of a second
  6. Math

    Bill and Harry are practicing for a track meet. Last week, Bill ran 900 meters on each of 3 days. Harry ran 1.2 kilometers on each of 2 days. Between last week and this week, Bill wants to run a total of 6 kilometers. How far does …
  7. Math

    Karen ran 42 miles in 6 days. On Sunday she ran 12 miles. Each of the other days she ran the same distance. 1. Write an algebraic equation to show how far Karen ran. 2. Calculate how many miles Karen ran each day for the week. 3. Explain …
  8. algebra

    Give the answed of the question Doreen ran 4 miles farther than ludy. Together, they ran a distance of 20 miles.How far did each ran?
  9. Math

    Mike and Jennifer are preparing for a race. On Friday, Mike ran for 3 2/5 hours and Jennifer ran for 4 3/4 hours. How much longer did Jennifer run (in minutes)?
  10. math

    Leila ran three times last week. Here are the distances she ran (in kilometers). 16.1 ,5,8.92 What is the total distance Leila ran on these three days?

More Similar Questions