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?
\n" );
document.write( "
\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?
\n" );
document.write( "
\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?
\n" );
document.write( "
\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?
\n" );
document.write( "
\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?
\n" );
document.write( " \n" );
document.write( "
Algebra.Com's Answer #24087 by Paul(988)![]() ![]() ![]() 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 \n" ); document.write( " \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 \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "3.Letting x be the distance: \n" ); document.write( "Equation: \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \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 \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "4.Letting x be the distance: \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "400x+300x=840000 \n" ); document.write( "x=1200 \n" ); document.write( "Hence, the distance is 1200\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "5.Total time of travel: \n" ); document.write( "4 hours: \n" ); document.write( "Equation: \n" ); document.write( " \n" ); document.write( " \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. \n" ); document.write( " \n" ); document.write( " |