SOLUTION: George drove 182 miles in the same time that Sam drove 224 miles. If Sam’s average speed was 12 miles per hour more than George’s average speed, find George’s average speed.

Algebra ->  Rate-of-work-word-problems -> SOLUTION: George drove 182 miles in the same time that Sam drove 224 miles. If Sam’s average speed was 12 miles per hour more than George’s average speed, find George’s average speed.      Log On


   



Question 721110: George drove 182 miles in the same time that Sam drove 224 miles. If Sam’s average speed was 12 miles per hour more than George’s average speed, find George’s average speed.
Answer by checkley79(3341) About Me  (Show Source):
You can put this solution on YOUR website!
D=RT
182=RT FOR GEORGE.
T=182/R
224=(R+12)T FOR SAM.
224=(R+12)(182/R)
224=(182R+2184)/R
224R=182R+2184
224R-182R=2184
42R=2184
R=2184/42
R=52 MPH FOR GEORGE.
PROOFS:
182=52T
T=182/52
T=3.5 HOURS.
224=(52+12)3.5
224=64*3.5
224=224