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Jill was going to meet Maria at the bus depot.
\n" ); document.write( " If she went during rush hour, she traveled 15 mph and would arrive 1 hour later.
\n" ); document.write( "If she went after rush hour, she traveled 30 mph and arrived an hour early.
\n" ); document.write( ":
\n" ); document.write( "Assume we are solving for the distance to bus station and the travel time to arrive on time
\n" ); document.write( ":
\n" ); document.write( "Let d = distance to the bus station
\n" ); document.write( "Let t = travel time to arrive on time
\n" ); document.write( ":
\n" ); document.write( "Write a distance equation for each scenario, arrange equations for elimination
\n" ); document.write( "Late:
\n" ); document.write( "15(t+1) = d
\n" ); document.write( "15t + 15 = d
\n" ); document.write( "15t - d = -15
\n" ); document.write( ":
\n" ); document.write( "Early
\n" ); document.write( "30(t-1) = d
\n" ); document.write( "30t - 30 = d
\n" ); document.write( "30t - d = 30
\n" ); document.write( ":
\n" ); document.write( "Subtract the 1st equation from the above equation
\n" ); document.write( "30t - d = 30
\n" ); document.write( "15t - d = -15
\n" ); document.write( "-----------------Subtraction eliminates d, find t
\n" ); document.write( "15t = 45
\n" ); document.write( "t =
\n" ); document.write( "t = 3 hrs to get there on time
\n" ); document.write( ":
\n" ); document.write( "Find the distance using d = 15(t+1)
\n" ); document.write( "d = 15(3 + 1)
\n" ); document.write( "d = 15(4)
\n" ); document.write( "d = 60 mi to the bus station
\n" ); document.write( ":
\n" ); document.write( "Confirm this using d = 30(t-1)
\n" ); document.write( "d = 30(3-1)
\n" ); document.write( "d = 60 mi also \n" ); document.write( "