document.write( "Question 1086557: a police car is moving 40 kph faster than a bus. the time that it takes the bus to travel 3 km, police car can travels 5 km. find their speeds \n" ); document.write( "

Algebra.Com's Answer #700784 by ikleyn(52873) $\"\"$ $\"About$

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document.write( "Let P be the speed of police car (in km/h), and\r\n" );
document.write( "let B be the speed of the bus.\r\n" );
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document.write( "First condition says\r\n" );
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document.write( "P - B = 40.     (1)\r\n" );
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document.write( "The second condition says\r\n" );
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document.write( " = .        (2)\r\n" );
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document.write( "From (2), express P =  and substitute it into equation (1). You will get\r\n" );
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document.write( " = 40.\r\n" );
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document.write( "Multiply both sides by 3 to rid of denominator. You will get\r\n" );
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document.write( "5B - 3B = 120,   or  2B = 120.\r\n" );
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document.write( "Then B =  = 60.\r\n" );
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document.write( "Thus we found that the bus' speed is 60 km/h.\r\n" );
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document.write( "Then the police car speed is  60 + 40 = 100 km/h.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Answer. 60 km/h for the bus and 100 km/h for police car. \r
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\n" ); document.write( "\n" ); document.write( "Solved.\r
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