document.write( "Question 1164836: Sean drove at a uniform speed of 90km/h. He started driving at 5:30 am and
\n" ); document.write( "reached his destination at 1.30 pm. Mary started driving at the same time as
\n" ); document.write( "Sean and reaches the same destination in 6 hrs. How far was Sean from his
\n" ); document.write( "destination when he was 150 km apart from Mary? \n" ); document.write( "

Algebra.Com's Answer #789287 by MathTherapy(10552) $\"\"$ $\"About$

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Sean drove at a uniform speed of 90km/h. He started driving at 5:30 am and
\n" ); document.write( "reached his destination at 1.30 pm. Mary started driving at the same time as
\n" ); document.write( "Sean and reaches the same destination in 6 hrs. How far was Sean from his
\n" ); document.write( "destination when he was 150 km apart from Mary?
\n" ); document.write( "

Sean traveled a total of 8 hrs (5:30 am - 1:30 pm), and at 90 km/h, destination-distance was: 8(90), or 720 km
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document.write( "With  Mary taking 6 hours to complete trip, her speed was:
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document.write( "You must realize that Mary's rate was faster than Sean's (120 km/h to 90 km/h), which means that she was ahead of him after they left the same location
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document.write( "at the same time and were heading to the same destination\r
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document.write( "Let the distance Mary was, from the destination be x
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document.write( "Then Sean was 150 + x from destination when Mary was 150 km in front of him
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document.write( "When Sean was 150 km from Mary, he'd traveled 570 - x from the starting point, in  hours
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document.write( "When Mary was 150 km IN FRONT of Sean, she'd traveled 570 - x + 150 from the starting point, in  hours
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document.write( "With both leaving the same location at the sane time, they reached their respective distances at the sane time.
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document.write( "We then get the following TIME equation: 
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document.write( "4(570 - x) = 2,160  - 3x ------ Multiplying by LCD, 360
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document.write( "2,280 - 4x = 2,160  - 3x
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document.write( " - x = - 120 ====> 
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document.write( "Therefore, when Mary was 150 km in front of Sean, Sean was 150 + 120, or  from the destination. \n" );
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