SOLUTION: two buses depart from the bus staions 360 miles apart. the second bus is 10 miles per hour faster than the first. after 2 hours they are still 120 miles apart. find the rates of th

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Question 551953: two buses depart from the bus staions 360 miles apart. the second bus is 10 miles per hour faster than the first. after 2 hours they are still 120 miles apart. find the rates of the buses.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The buses must be driving toward each other, since
the distance between them is getting smaller.
Think of one bus a standing still and the other bus
moving at the sum of their speeds.
Let +s+ mi/hr = the speed of the slower bus.
+s+%2B+10+ mi/hr = the speed of the faster bus
----------------------------------------
In +2+ hrs, they travel +360+-+120+=+240+ mi
given:
+240+=+%28+s+%2B+s+%2B+10+%29%2A2+
+240+=+%28+2s+%2B+10+%29%2A2+
+240+=+4s+%2B+20+
+4s+=+240+-+20+
+4s+=+220+
+s+=+55+
+s+%2B+10+=+65+
The speeds of the buses are 55 mi/hr and 65 mi/hr