SOLUTION: Ashley traveled by car at an average speed of 31 miles per hour. Then, she traveled by motorcycle at an average speed of 25 miles per hour. In total, she traveled 27 miles fo

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Question 621152: Ashley traveled by car at an average speed of 31 miles per hour.
Then, she traveled by motorcycle at an average speed of 25 miles per hour.
In total, she traveled 27 miles for 1 hour.
How many minutes did Ashley travel by car?

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +t+ = time traveled by car
+1+-+t+ = time traveled by motorcycle
Let +d+ = distance traveled by car
+27+-+d+ = distance traveled by motorcycle
--------
By car:
(1) +d+=+31t+
By motorcycle:
(2) +27+-+d+=+25%2A%28+1+-+t+%29+
-----------------------
Substitute (1) into (2)
(2) +27+-+31t+=+25%2A%28+1+-+t+%29+
(2) +27+-+31t+=+25+-+25t+
(2) +6t+=+2+
(2) +t+=+1%2F3+
+%281%2F3%29%2A60+=+20+
Ashley traveled 20 minutes by car
check:
(1) +d+=+31%2A%281%2F3%29+
(1) +d+=+31%2F3+
and
(2) +27+-+d+=+25%2A%28+1+-+1%2F3+%29+
(2) +27+-+d+=+25%2A%282%2F3%29+
(2) +81+-+3d+=+50+
(2) +3d+=+31+
(2) +d+=+31%2F3+
OK