SOLUTION: A bus traveled on a level road for 6 hours at an average speed 20 miles per hour faster than it traveled on a winding road. The time spent on the winding road. The time spent on th

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Question 1129422: A bus traveled on a level road for 6 hours at an average speed 20 miles per hour faster than it traveled on a winding road. The time spent on the winding road. The time spent on the winding road was 2 hours.
Find the average speed on the level roasd if the entire trip was 384 miles
The bus speed on the level road was ? mph

Found 2 solutions by t0hierry, josmiceli:
Answer by t0hierry(194) About Me  (Show Source):
You can put this solution on YOUR website!
384 = 6*(v+20) + 2*v
384 = 8v + 120
264 = 8v
v = 33
v on level road = 33 + 20 = 53m/h

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +d+ = distance traveled on the winding road
+384+-+d+ = distance traveled on level road
Let +s+ = the average speed on the winding road
+s+%2B+20+ = the average speed on the level road
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Equation for winding road:
(1) +d+=+s%2A2+
Equation for level road:
(2) +384+-+d+=+%28+s+%2B+20+%29%2A6+
-------------------------------------
(2) +384+-+d+=+6s+%2B+120+
Plug (1) into (2)
(2) +384+-+2s+=+6s+%2B+120+
(2) +8s+=+264+
(2) +s+=+33+
and
+s+%2B+20+=+53+
The speed on level road was 53 mi/hr
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check:
(1) +d+=+2%2A33+
(1) +d+=+66+
and
(2) +384+-+d+=+%28+s+%2B+20+%29%2A6+
(2) +384+-+d+=+6s+%2B+120+
(2) +384+-+d+=+6%2A33+%2B+120+
(2) +d+=+384+-+198+-+120+
(2) +d+=+66+
OK