document.write( "Question 349027: A bullet is fired horizontally at a target, and the sound of its impact is hear 1.5 seconds later. If the speed is 3300Ft/sec and the speed of sound i 1100 ft/sec how far away is the target? \n" ); document.write( "
Algebra.Com's Answer #249475 by haileytucki(390)![]() ![]() You can put this solution on YOUR website! A bullet is fired horizontally at a target, and the sound of its impact is heard 1.5 seconds later. If the speed of the bullet is 3300ft/sec and the speed of sound is 1100 ft/sec how far away is the target? \n" ); document.write( "Let the target be at a distance of x feet . \n" ); document.write( "Time taken by bullet to reach the target = x/3300 seconds \n" ); document.write( "Time taken by sound to reach the ear is = x/1100 seconds \n" ); document.write( "The total time taken is 1.5 seconds \r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(x)/(3300)+(x)/(1100)=1.5\r \n" ); document.write( "\n" ); document.write( "Find the LCD (least common denominator) of (x)/(3300)+(x)/(1100)+1.5. \n" ); document.write( "Least common denominator: 3300\r \n" ); document.write( "\n" ); document.write( "Multiply each term in the equation by 3300 in order to remove all the denominators from the equation. \n" ); document.write( "(x)/(3300)*3300+(x)/(1100)*3300=1.5*3300\r \n" ); document.write( "\n" ); document.write( "Simplify the left-hand side of the equation by canceling the common factors. \n" ); document.write( "4x=1.5*3300\r \n" ); document.write( "\n" ); document.write( "Multiply 1.5 by 3300 to get 4950. \n" ); document.write( "4x=4950\r \n" ); document.write( "\n" ); document.write( "Divide each term in the equation by 4. \n" ); document.write( "(4x)/(4)=(4950)/(4)\r \n" ); document.write( "\n" ); document.write( "Simplify the left-hand side of the equation by canceling the common factors. \n" ); document.write( "x=(4950)/(4)\r \n" ); document.write( "\n" ); document.write( "Simplify the right-hand side of the equation by simplifying each term. \n" ); document.write( "x=(2475)/(2)\r \n" ); document.write( "\n" ); document.write( "So, 2475/2=(2475)/(2)\r \n" ); document.write( "\n" ); document.write( "The approximate value of (2475)/(2) is 1237.5. \n" ); document.write( "1237.50 feet (distance of the target) \n" ); document.write( " |