document.write( "Question 939380: This is from that episode of Duck Dynasty, so I was just curious. Anyway, here it is:\r
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document.write( "Two trucks are traveling 1/4 mile to a store. Truck A is traveling 30 mph, and Truck B is traveling 15 mph. Truck B gets a 20 second head start. Which truck will get to the store first? \n" );
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Algebra.Com's Answer #572378 by josgarithmetic(39620)![]() ![]() ![]() You can put this solution on YOUR website! Two parallel time-lines helped in understanding the timing situation.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "A___________0 mph for 0.00556 hour__________30 mph for x hour\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "B__________15 mph for x+0.00556 hour\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "A_________________ \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "B_______________ \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Another arrangement is time for B is another variable, y. \n" ); document.write( "Time quantity of y can be found. \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Better understanding happens HERE:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Truck B having 20 seconds headstart, traveled 15*(0.00556) miles, BEFORE truck A began. \n" ); document.write( "Truck B reached position 0.08333333 miles from starting point.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now consider new time arrangement. \n" ); document.write( "At time 0, A is at position 0, and B is at position 0.0833333.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "----\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Data table and using distances according to the positions from departure to 0.25 trip distance.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "_____________________speed___________time_____________distance \n" ); document.write( "A_____________________30_____________(1/4)/30_________1/4 \n" ); document.write( "B_____________________15_____________( \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Cleaning that a little bit,\r \n" ); document.write( "\n" ); document.write( "_____________________speed___________time_____________distance \n" ); document.write( "A_____________________30_____________ \n" ); document.write( "B_____________________15_____________( \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Solve for travel time of truck B, and then compare to the travel time of truck A. \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The least time quantity corresponds to the truck which arrived first. \n" ); document.write( " |