SOLUTION: Lois rode her bike to a friends at 10 miles per hour. She got a ride back home in a car, traveling 25 miles per hour. It took her 1.5 hours longer when she rode her bike. how far d

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Question 525510: Lois rode her bike to a friends at 10 miles per hour. She got a ride back home in a car, traveling 25 miles per hour. It took her 1.5 hours longer when she rode her bike. how far did she travel?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let d = distance to her friends
Let t = time it took to get home in car
given:
+10+ mi/hr = speed on bike
+25+ mi/hr = speed in car
+t+%2B+1.5+ hrs = time to ride bike to friends
-----------------------------------
Riding bike:
(1) +d+=+10%2A%28+t+%2B+1.5+%29+
Riding in car:
(2) +d+=+25t+
-----------
substitute (2) into (1)
(1) +25t+=+10t+%2B+15+
(1) +15t+=+15+
(1) +t+=+1+ hr
and
(2) +d+=+25%2A1+
(2) +d+=+25+
She traveled a total of 2d, or 50 miles