<PRE><B>Question 541155</B>
Two motorcyclists leave Lansing at the same time, traveling in opposite directions. The cyclist going east is traveling 10 miles per hour faster than the cyclist going west. If the two motorcycles are 275 miles apart after 2.5 hours, find each of their speeds.
**
let x=speed (mph) of cyclist going west
x+10=speed (mph) of cyclist going east
distance=speed*travel time
2.5x+2.5(x+10)=275
2.5x+2.5x+25
5x=275-25=250
x=50
x+10=60
ans:
speed (mph) of cyclist going west=50 mph
speed (mph) of cyclist going east=60 mph</PRE>