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A passenger  plane  left  Singapore  and  flew south  at  an  average  speed  of  215  mph. Some  time  later  a  jet  left  flying  in  the same  direction  but  at  an  average  speed  of 473  mph.    After  flying  for  three  hours  the jet  caught  up  with  the  passenger  plane. Find  the  number  of  hours  the  passenger plane  flew  before  the  jet  caught  up.

 Mar 17, 2016
 #1
avatar+129839 
+5

Let h  be the number of hours the first plane flew before the second plane began its flight......since they flew the same distance at the end, we have

 

215h + 215(3)   =  473(3)     simplfy

 

215h + 645   =  1419     subtract 645 from both sides

 

215h = 774       divide both sides by 215

 

h = 774 / 215 = 3.6 hours

 

 

 

cool cool cool

 Mar 17, 2016

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