SOLUTION: Two planes which are 3260 miles apart,fly toward each other. Their speeds differ by 55 mph.If they pass each other in 4 hours, what is the speed of each?

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: Two planes which are 3260 miles apart,fly toward each other. Their speeds differ by 55 mph.If they pass each other in 4 hours, what is the speed of each?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 700160: Two planes which are 3260 miles apart,fly toward each other. Their speeds differ by 55 mph.If they pass each other in 4 hours, what is the speed of each?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Think of one plane as being stationary and
the other plane approaching at the sum of their speeds.
Let +s+ = the speed of the slower plane
+s+%2B+55+ = the speed of the faster plane
+3260+=+%28+s+%2B+s+%2B+55+%29%2A4+
+3260+=+%28+2s+%2B+55+%29%2A4+
+3260+=+8s+%2B+220+
+8s+=+3040+
+s+=+380+
+s+%2B+55+=+435+
Their speeds are 380 mi/hr and 435 mi/hr
check:
+380%2A4+=+1520+ mi
+435%2A4+=+1740+ mi
+1520+%2B+1740+=+3260+ mi
OK