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)\"\" \"About 
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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.
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\n" ); document.write( "Let a = the average velocity
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\n" ); document.write( "Write a time equation, time = dist/speed
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\n" ); document.write( "\"464%2F48\" + \"464%2F68\" = \"2%28464%29%2Fa\"
\n" ); document.write( "\"464%2F48\" + \"464%2F68\" = \"928%2Fa\"
\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
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\n" ); document.write( "Multiply by 272a
\n" ); document.write( "816a*\"464%2F48\" + 816a*\"464%2F68\" = 816a*\"928%2Fa\"
\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 = \"757248%2F13456\"
\n" ); document.write( "a = 56.276 km/hr is the average velocity for the trip
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\n" ); document.write( "You can confirm this by finding if the actual times add up
\n" ); document.write( "\"464%2F48\" + \"464%2F68\" = \"928%2F56.276\"
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