document.write( "Question 1055496: A certain array of solar cells can generate 6.0 GJ in 5.0 months (under standard conditions). After this array has been operating for 3.0 months , another array of cells is added which alone can generate 15.0 GJ in 7.0 months . How many additional months, after the new array has been added, is needed for the total energy generated from both arrays to be 30 GJ ? \n" ); document.write( "
Algebra.Com's Answer #670882 by Fombitz(32388)\"\" \"About 
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Find the rate of both arrays,
\n" ); document.write( "\"R%5B1%5D%2A5=6\"
\n" ); document.write( "\"R%5B1%5D=6%2F5\"
\n" ); document.write( "and
\n" ); document.write( "\"R%5B2%5D%2A7=15\"
\n" ); document.write( "\"R%5B2%5D=15%2F7\"
\n" ); document.write( "So after 3 months, array 1 has generated,
\n" ); document.write( "\"%286%2F5%29%2A3=18%2F5\"
\n" ); document.write( "So then both together need to generate X to reach 30.
\n" ); document.write( "\"18%2F5%2BX=30\"
\n" ); document.write( "\"X=150%2F5-18%2F5\"
\n" ); document.write( "\"X=132%2F5\"
\n" ); document.write( "So then together,
\n" ); document.write( "\"%28R%5B1%5D%2BR%5B2%5D%29t=132%2F5\"
\n" ); document.write( "\"%286%2F5%2B15%2F7%29t=132%2F5\"
\n" ); document.write( "\"t=%28132%2F5%29%2F%286%2F5%2B15%2F7%29\"\r
\n" ); document.write( "\n" ); document.write( "\"t=%28%28132%2F5%29%287%2F7%29%29%2F%28%286%2F5%29%287%2F7%29%2B%2815%2F7%29%285%2F5%29%29\"
\n" ); document.write( "\"t=%28924%2F35%29%2F%2842%2F35%2B75%2F35%29\"
\n" ); document.write( "\"t=%28924%2F35%29%2F%28117%2F35%29\"
\n" ); document.write( "\"t=924%2F117\"
\n" ); document.write( "\"t=308%2F39\" or approximately 7.9 months.
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