SOLUTION: On his drive from Montpelier, Vermont to Columbia, South Carolina, Victor averaged 51 mph. If he had been able to average 60 mph, he would have reached his destination 3 hrs earlie

Algebra ->  Rational-functions -> SOLUTION: On his drive from Montpelier, Vermont to Columbia, South Carolina, Victor averaged 51 mph. If he had been able to average 60 mph, he would have reached his destination 3 hrs earlie      Log On


   

Question 627125: On his drive from Montpelier, Vermont to Columbia, South Carolina, Victor averaged 51 mph. If he had been able to average 60 mph, he would have reached his destination 3 hrs earlier. What is the driving distance between Montpelier and Columbia?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Driving 51 mi/hr average:
(1) +d+=+51t+
Driving 60 mi/hr average:
(2) +d+=+60%2A%28+t+-+3+%29+
------------------------
Substitute (1) into (2)
(2) +51t+=+60%2A%28+t+-+3+%29+
(2) +51t+=+60t+-+180+
(2) +9t+=+180+
(2) +t+=+20+
and
(1) +d+=+51t+
(1) +d+=+51%2A20+
(1) +d+=+1020+
The distance is 1,020 mi
check:
(2) +d+=+60%2A%28+t+-+3+%29+
(2) +1020+=+60%2A%28+20+-+3+%29+
(2) +1020+=+60%2A17+
(20 +1020+=+1020+
OK