document.write( "Question 533738: An aeroplane covers a certain distance at a speed of 240 km/h in 5 hours. To cover the same distance in 1 2/3 hours, it must travel a speed of \n" ); document.write( "

Algebra.Com's Answer #351137 by fcabanski(1391) $\"\"$ $\"About$

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\n" ); document.write( "\n" ); document.write( "D=RT\r
\n" ); document.write( "\n" ); document.write( "In the first case we can find the distance. R = 240 km/hr and T = 5 hr.\r
\n" ); document.write( "\n" ); document.write( "D = 240 km/hr * 5hr = 1200 km\r
\n" ); document.write( "\n" ); document.write( "Now we know the distance, which is the same distance as in the second case. D = 1200 km, T = 1.67 hr we can find the necessary rate. \r
\n" ); document.write( "\n" ); document.write( "First let's convert 1 and 2/3 into an improper fraction. To do that multiply 3 * 1 and add 2 to find the numerator. The denominator remains 3. So it's 5/3.\r
\n" ); document.write( "\n" ); document.write( "1200 km = R * 5/3hr Divide both sides by 5/3 to isolate R\r
\n" ); document.write( "\n" ); document.write( "1200km / 5/3 hr = R = remember that dividing by a fraction is the same as multiplying by the reciprocal of the fraction.\r
\n" ); document.write( "\n" ); document.write( "1200km * 3/5 (1/hr) = 3600/5 km/hr = R = 720 km/hr \n" ); document.write( "

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