SOLUTION: Before lunch, Sally drove from Idabel to Ardmore, averaging 50 mph. After lunch she continued on to Lawton, averaging 53 mph. If her driving time after lunch was 1 hour less than

Algebra ->  Human-and-algebraic-language -> SOLUTION: Before lunch, Sally drove from Idabel to Ardmore, averaging 50 mph. After lunch she continued on to Lawton, averaging 53 mph. If her driving time after lunch was 1 hour less than      Log On


   

Question 106383This question is from textbook Elementary and Intermediate Algebra
: Before lunch, Sally drove from Idabel to Ardmore, averaging 50 mph. After lunch she continued on to Lawton, averaging 53 mph. If her driving time after lunch was 1 hour less than her driving time before lunch and the total trip was 256 miles, then how many hours did she drive before lunch? How far is it from Ardmore to Lawton? This question is from textbook Elementary and Intermediate Algebra

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
distance = average speed * time
For first trip,
d%5B1%5D+=+50t
For 2nd trip,
d%5B2%5D+=+53%28t-1%29
d%5B1%5D+%2B+d%5B2%5D+=+256
50t+%2B+53%28t-1%29+=+256
50t+%2B+53t+-+53+=+256
103t+=+309
t+=+3hours (this is the driving time before lunch)
After lunch, she drove
d%5B2%5D+=+53%28t-1%29
d%5B2%5D+=+53%2A2
d%5B2%5D+=+106miles distance Ardmore to Lawton