document.write( "Question 505639: What is your average velocity if you drive a distance of 464 km at a speed of 48 km/h, then the same distance at a speed of 68 km/h? Answer in units of km/h. \n" ); document.write( "
Algebra.Com's Answer #339956 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! What is your average velocity if you drive a distance of 464 km at a speed of 48 km/h, then the same distance at a speed of 68 km/h? Answer in units of km/h. \n" ); document.write( ": \n" ); document.write( "Let a = the average velocity \n" ); document.write( ": \n" ); document.write( "Write a time equation, time = dist/speed \n" ); document.write( ": \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "Find the LCM of 48 and 68 \n" ); document.write( "48: 2*2*2*2*3 \n" ); document.write( "68: 2*2*17 \n" ); document.write( "LCM 2^4 * 3 * 17 = 816 \n" ); document.write( ": \n" ); document.write( "Multiply by 272a \n" ); document.write( "816a* \n" ); document.write( "Cancel the denominators and you have \n" ); document.write( "17a(464) + 12a(464) = 816(928) \n" ); document.write( "7888a + 5568a = 757248 \n" ); document.write( "13456a = 757248 \n" ); document.write( "a = \n" ); document.write( "a = 56.276 km/hr is the average velocity for the trip \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "You can confirm this by finding if the actual times add up \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " |