document.write( "Question 1010255: The distance between port M and port N is 162 mi. A ship left port M with a speed of 45 mph. In 45 minutes another ship left port N and went towards the first ship with a speed of 36 mph. How long after the departure of the first ship will the two ships meet?
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Algebra.Com's Answer #625786 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! The distance between port M and port N is 162 mi. \n" ); document.write( " A ship left port M with a speed of 45 mph. \n" ); document.write( " In 45 minutes another ship left port N and went towards the first ship with a speed of 36 mph. \n" ); document.write( " How long after the departure of the first ship will the two ships meet? \n" ); document.write( ": \n" ); document.write( "Change 45 min to .75 hrs \n" ); document.write( ": \n" ); document.write( "Let t = travel time of the first ship \n" ); document.write( "then \n" ); document.write( "(t-.75) = the travel time of the 2nd ship (left 45 min later) \n" ); document.write( ": \n" ); document.write( "When the two ships meet the sum of their distances will equal 162 mi \n" ); document.write( ": \n" ); document.write( "-------------------------------------------------------------- \n" ); document.write( "You are very kind, but it is not OK to make mistakes here, let me try and correct this. CK \n" ); document.write( ": \n" ); document.write( "45t + 36(t-.75) = 162 \n" ); document.write( "45t + 36t - 27 = 162 \n" ); document.write( "45t + 36t = 162 + 27 \n" ); document.write( "81t = 189 \n" ); document.write( "t = 189/81 \n" ); document.write( "t = 2 \n" ); document.write( "\n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Confirm this by finding the actual dist each ship traveled \n" ); document.write( "45 * 2.333 = 105 mi \n" ); document.write( "36(2.333-.75) = 57 mi \n" ); document.write( "-------------------------- \n" ); document.write( "dist total of both: 162 mi\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |