document.write( "Question 666421: A hot air balloon spent several minutes ascending. It then stayed at a level altitude for two times as long as it had ascended. It took 6 minutes less to descend than it did to ascend. The entire trip took one hour and 10 minutes. For how long was the balloon at a level altitude? \n" ); document.write( "

Algebra.Com's Answer #414693 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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A hot air balloon spent several minutes ascending.
\n" ); document.write( "let t = time ascending
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\n" ); document.write( " It then stayed at a level altitude for two times as long as it had ascended.
\n" ); document.write( "2t = time at level altitude
\n" ); document.write( ":
\n" ); document.write( " It took 6 minutes less to descend than it did to ascend.
\n" ); document.write( "(t-6) = time to descend
\n" ); document.write( ":
\n" ); document.write( " The entire trip took one hour and 10 minutes.
\n" ); document.write( "Change 1 hr 10 min to 70 min
\n" ); document.write( ":
\n" ); document.write( "ascend time + lev time + descend time = 70 min
\n" ); document.write( "t + 2t + (t-6) = 70
\n" ); document.write( "4t = 70 + 6
\n" ); document.write( "t = 76/4
\n" ); document.write( "t = 19 min to ascend
\n" ); document.write( ":
\n" ); document.write( " For how long was the balloon at a level altitude?
\n" ); document.write( "2(19) = 38 min at level altitude
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