SOLUTION: Two trucks leave the same place at the same time, traveling in opposite directions. One is traveling 10 mph faster than the other. After 3 hours, the trucks are 240 miles apart. Ho

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Question 534844: Two trucks leave the same place at the same time, traveling in opposite directions. One is traveling 10 mph faster than the other. After 3 hours, the trucks are 240 miles apart. How fast is each traveling?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let the speed of the slower truck = s mi/hr
The speed of the faster truck is +s+%2B+10+ mi/hr
The trucks are separating at the sum of their speeds, so
+240+=+%28+s+%2B+s+%2B+10+%29%2A3+
+240+=+%28+2s+%2B+10+%29%2A3+
+240+=+6s+%2B+30+
+6s+=+210+
+s+=+35+
+s+%2B+10+=+45+
Their speeds are 35 mi/hr and 45 mi/hr
check:
slower truck:
+d+=+35%2A3+
+d+=+105+ mi
Faster truck:
+d+=+45%2A3+
+d+=+135+ mi
+105+%2B+135+=+240+ mi
OK