SOLUTION: A girl walked from her home to the fitness center at 6 km/h. She stayed at the gym for 45 min then got a ride home at 48 km/h. If she returned 1.5 hours after starting out, find

Algebra ->  Equations -> SOLUTION: A girl walked from her home to the fitness center at 6 km/h. She stayed at the gym for 45 min then got a ride home at 48 km/h. If she returned 1.5 hours after starting out, find       Log On


   

Question 846211: A girl walked from her home to the fitness center at 6 km/h. She stayed at the gym for 45 min then got a ride home at 48 km/h. If she returned 1.5 hours after starting out, find the distance from the home to the fitness center.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +d+ = distance to fitness center
Let +t++ = time to get there
+t+=+d%2F6+ hrs
----------------------
+1.5+ hrs = +90+ min
+90+-+45+=+45+
Her time spent traveling is +45+ min
or +3%2F4+ hrs
----------------------
Her time coming home is:
+t+=+d%2F48+ hrs
----------------------
+d%2F6+%2B+d%2F48+=+3%2F4+
Multiply both sides by +48+
+8d+%2B+d+=+36+
+9d+=+36+
+d+=+4+
the distance from the home to the fitness center
is 4 km