document.write( "Question 946497: it takes 1 person 4500 minutes to take down the seats, how many people will they need to do it in 6 hours? \n" ); document.write( "
Algebra.Com's Answer #577406 by Theo(13342)![]() ![]() You can put this solution on YOUR website! rate * people * time = quantity of work.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the rate is the average rate per person.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you get r*p*t = q\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "when you have 1 person doing the work, it takes 4500 minutes.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you get p = 1 and t = 4500 in the equation.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the formula becomes:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "r*1*4500 = q\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "solve for r to get r = q/4500.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you want to know how many people it takes to do the same job in 6 hours.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the rate that each person works is presumably the same, which is q/4500.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "6 hours is equal to 6 * 60 = 360 minutes.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "r is equal to q/4500 \n" ); document.write( "t is equal to 360 \n" ); document.write( "p is what you want to solve for.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the equation of r*p*t = q becomes:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "q/4500 * p * 360 = q\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "multiply both sides of the equation by 4500 / q to get p * 360 = q * 4500 / q.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "simplify to get p * 360 = 4500\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "divide both sides of this equation by 360 to get p = 4500 / 360.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "this results in p = 12.5.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "if 1 person does it in 4500 minutes, then 12.5 people are required to do it in 360 minutes.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the value of q was irrelevant because it canceled out.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "this means you could have replaced q with any number and the results would be the same.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |