document.write( "Question 622629: If a car starts it journey at 11 am with velocity = 60km/h then an0ther car after one hour starts its journey with velocity = 80km/h. When does 2nd car cross 1st?
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document.write( "a. 1 pm
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document.write( "b. 1:50 pm
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document.write( "c. 2 pm
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document.write( "d. 2:30pm \n" );
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Algebra.Com's Answer #391510 by Theo(13342) You can put this solution on YOUR website! Rate * Time = Distance \n" ); document.write( "That's the formula you use. \n" ); document.write( "They will both have traveled the same distance when the first car crosses the second car. \n" ); document.write( "The Equation for the first car is: \n" ); document.write( "60 * T = D \n" ); document.write( "The Equation for the second car is: \n" ); document.write( "80 * (T-1) = D \n" ); document.write( "T is the number of hours the first car travels. \n" ); document.write( "T-1 is the number of hours the second car travels because the second car starts 1 hour after the first car and so is traveling 1 hour less when they cross each other. \n" ); document.write( "Your 2 equations are: \n" ); document.write( "60 * T = D \n" ); document.write( "80 * (T-1) = D \n" ); document.write( "since they are both equal to D, we can set them equal to each other to get: \n" ); document.write( "60 * T = 80 * (T-1) \n" ); document.write( "Simplify to get: \n" ); document.write( "60 * T = 80 * T - 80 \n" ); document.write( "subtract 60 * T from both sides of the equation and add 80 to both sides of the equation to get: \n" ); document.write( "80 = 20 * T \n" ); document.write( "divide both sides of the equation by 20 to get: \n" ); document.write( "4 = T \n" ); document.write( "T is equal to 4 hours. \n" ); document.write( "T-1 is equal to 3 hours. \n" ); document.write( "The first car travels 4 hours at 60 kilometers per hour to travel a total distance of 240 kilometers. \n" ); document.write( "The second car travels 3 hours at 80 kilometers per hour to travel a total distance of 240 kilometers \n" ); document.write( "They will cross each other 240 miles from the start6ing point. \n" ); document.write( "This will happen 4 hours after the first car starts. \n" ); document.write( "The first car starts at 11:00 am. \n" ); document.write( "The crossing occurs as 3:00 pm. \n" ); document.write( "Unfortunately, that's not one of your answer selections. \n" ); document.write( "I double-checked the calculations and they look good. \n" ); document.write( "?????\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |