document.write( "Question 38561: 1. Bob left Boston at 9:00am and drove to New Hampshire at 60 km/h. Mike left Boston at 11:00am and traveled the same route to New Hampshire. If both men arrived in New hampshire at 4:00pm, at what rate did Mike travel?
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\n" ); document.write( "2. Two jets are traveling toward each other and are 4000 km apart. The rate of one jet is 100 km/h faster than the rate of the other. If the jets pass each other after 2.5 hours, what is the rate of the faster jet?
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\n" ); document.write( "3. Mary drove from her home to a service station at 48 km/h. She returned home by bycycle at 16 km/h. The entire trip took 4 hours. How far was the service station from Mary's home?
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\n" ); document.write( "4. A plane on a search mission flew east from an airport, turned, and flew west back to the airport. The plane cruised at 300 km/h when flying east, and 400 km/h when flying west. The plane was in the air for 7 hours. How far from the airport did the plane travel?
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\n" ); document.write( "5. A motorboat can travel upstream on a river at 18 km/h and downstream at 30 km/h. How far upsteam can the boat travel if it leaves at 8:00am and must return by noon?
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Algebra.Com's Answer #24087 by Paul(988)\"\" \"About 
You can put this solution on YOUR website!
1. Let x be his speed:
\n" ); document.write( "BOb's total time = 7 hours
\n" ); document.write( "Mike's total time = 5 hours
\n" ); document.write( "7(60)=5(x)
\n" ); document.write( "x=84
\n" ); document.write( "Hence, he travelled at 84mph.\r
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\n" ); document.write( "\n" ); document.write( "2.One jet = x+100
\n" ); document.write( "Other jet = x
\n" ); document.write( "Equation:
\n" ); document.write( " 2.5(x+x+100)=4000
\n" ); document.write( "5x=3750
\n" ); document.write( "x=
\n" ); document.write( "750
\n" ); document.write( "750+100=850
\n" ); document.write( "Hence, one jet is travelling at 850mph and another one is traveling at 750mph.\r
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\n" ); document.write( "\n" ); document.write( "3.Letting x be the distance:
\n" ); document.write( "Equation:
\n" ); document.write( "\"x%2F48%2Bx%2F16=4\"\r
\n" ); document.write( "\n" ); document.write( "\"48%28x%2F48%29%2B48%28x%2F16%29=48%284%29\"
\n" ); document.write( "x+3x=192
\n" ); document.write( "4x=192
\n" ); document.write( "x=48
\n" ); document.write( "Hence, the distance is 48miles.\r
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\n" ); document.write( "\n" ); document.write( "4.Letting x be the distance:
\n" ); document.write( "\"x%2F300%2Bx%2F400=7\"\r
\n" ); document.write( "\n" ); document.write( "\"120000%28x%2F300%29%2B120000%28x%2F400%29=120000%287%29\"
\n" ); document.write( "400x+300x=840000
\n" ); document.write( "x=1200
\n" ); document.write( "Hence, the distance is 1200\r
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\n" ); document.write( "\n" ); document.write( "5.Total time of travel:
\n" ); document.write( "4 hours:
\n" ); document.write( "Equation:
\n" ); document.write( "\"x%2F18%2Bx%2F30=4\"
\n" ); document.write( "\"540%28x%2F18%29%2B540%28x%2F30%29=540%284%2F1%29\"
\n" ); document.write( "30x+18x=2160\r
\n" ); document.write( "\n" ); document.write( "x=45
\n" ); document.write( "Hence, it can travel 45 miles.
\n" ); document.write( "Paul.
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