document.write( "Question 1202546: Paula ran to Hugo in 6 hours, while Busking walked the same distance in 72 hours. How fast did Paula run if her speed was 11 kilometers per hour faster than Busking's? How far was it to Hugo? \n" ); document.write( "
Algebra.Com's Answer #837464 by greenestamps(13215) You can put this solution on YOUR website! \n" ); document.write( "The ratio of the times is 6:72 = 1:12. Since the distances are the same, the ratio of the speeds is 12:1. Using that ratio of speeds, \n" ); document.write( "Let x = Busking's speed \n" ); document.write( "Then 12x = Paula's speed \n" ); document.write( "Paula's speed was 11 km/h faster than Busking's: \n" ); document.write( "12x - x = 11 \n" ); document.write( "11x = 11 \n" ); document.write( "x = 1 \n" ); document.write( "ANSWERS: \n" ); document.write( "Paula's speed was 12x = 12 km/h \n" ); document.write( "The distance to Hugo was (12 km/h)*(6h) = 72 km \n" ); document.write( " \n" ); document.write( " |