SOLUTION: The Jones family drove to Disneyland at 50 m.p.h and returned on the same route at 40 m.p.h. Find the distance to Disneyland if the total driving time was 7.2 hours.

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: The Jones family drove to Disneyland at 50 m.p.h and returned on the same route at 40 m.p.h. Find the distance to Disneyland if the total driving time was 7.2 hours.      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 723222: The Jones family drove to Disneyland at 50 m.p.h and returned on the same route at 40 m.p.h. Find the distance to Disneyland if the total driving time was 7.2 hours.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +d+ = distance in miles to Disneyland
Let +t+ = time in hrs to get there
+7.2+-+t+ = time in hrs to get back
--------------
Equation for going:
(1) +d+=+50t+
Equation for coming back:
(2) +d+=+40%2A%28+7.2+-+t+%29+
By substitution:
+50t+=+40%2A%28+7.2+-+t+%29+
+50t+=+288+-+40t+
+90t+=+288+
+t+=+288%2F90+
+t+=+3.2+
-------------
(1) +d+=+50t+
(1) +d+=+50%2A3.2+
(1) +d+=+160+
and
(2) +d+=+40%2A%28+7.2+-+t+%29+
(2) +d+=+40%2A%28+7.2+-+3.2+%29+
(2) +d+=+40%2A4+
(2) +d+=+160+
The distance to Disneyland is 160 mi