document.write( "Question 1202648: Bob and his brother Jim live 95 miles apart and like to meet and play golf together, the course is 15 miles further for Bob as it is from Jim but Bob averages 10 mph faster than Jim so if they want to meet at the course at 9:00 and Jim leaves at 8:00 what time would Bob need to leave? \n" ); document.write( "
Algebra.Com's Answer #837624 by math_tutor2020(3817)\"\" \"About 
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\n" ); document.write( "Draw a number line to mark these three locations
  • B = Bob's starting location
  • G = golf course location
  • J = Jim's starting location
We have these segment pieces:
  • GJ = x = distance from Jim to golf course
  • BG = x+15 = distance from Bob to golf course
Those two pieces must add to the 95 mile gap between the two brothers. I'm assuming the golf course is between them.
\n" ); document.write( "GJ + BG = 95
\n" ); document.write( "x + (x+15) = 95
\n" ); document.write( "2x + 15 = 95
\n" ); document.write( "2x = 95-15
\n" ); document.write( "2x = 80
\n" ); document.write( "x = 80/2
\n" ); document.write( "x = 40\r
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\n" ); document.write( "\n" ); document.write( "Jim travels x = 40 miles.
\n" ); document.write( "Bob travels x+15 = 40+15 = 55 miles.\r
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\n" ); document.write( "\n" ); document.write( "Jim travels 40 miles in 1 hour, which is the time gap from 8:00 to 9:00.
\n" ); document.write( "Jim drives at 40 mph (average).
\n" ); document.write( "Formula is: rate = distance/time\r
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\n" ); document.write( "\n" ); document.write( "40+10 = 50 mph is Bob's average speed.\r
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\n" ); document.write( "\n" ); document.write( "Let's determine how long Bob would take to travel 55 miles at 50 mph.
\n" ); document.write( "distance = rate*time
\n" ); document.write( "time = distance/rate
\n" ); document.write( "time = 55/50
\n" ); document.write( "time = 1.10 hours\r
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\n" ); document.write( "\n" ); document.write( "The 0.10 hour portion converts to 0.10*60 = 6 minutes
\n" ); document.write( "1.10 hours = 1 hour + 6 minutes\r
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\n" ); document.write( "\n" ); document.write( "Bob is on the road for 6 additional minutes compared to his brother.
\n" ); document.write( "He'll need to rewind the clock 6 minutes into the past to be able to arrive at 9:00\r
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\n" ); document.write( "\n" ); document.write( "8:00 - 6 minutes = 7:54\r
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\n" ); document.write( "\n" ); document.write( "In other words,
\n" ); document.write( "7:54 + (1 hr & 6 min) = 9:00\r
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\n" ); document.write( "\n" ); document.write( "Answer is 7:54
\n" ); document.write( "I'm not sure whether to put AM or PM. The instructions are vague about that. It could be possible that your teacher is using 24 hour time format.
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