document.write( "Question 428538: Crane A can unload the dumpster in 10 hours, and Crane B CAN UNLOAD it in 14 hours. Crane A and B started to unload the dumpster at noon. At what time was the unloading job of the dumpster completed? \n" ); document.write( "
Algebra.Com's Answer #297832 by ptaylor(2198)\"\" \"About 
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Let x=amount of time it takes to unload the dumpster with both cranes working
\n" ); document.write( "So, together, the two cranes unload at the rate of 1/x of the dumpster per hour
\n" ); document.write( "Then 12:00 noon + x=time the unloading job is completed
\n" ); document.write( "Crane A unloads at the rate of 1/10 of the dumpster per hour
\n" ); document.write( "Crane B unloads at the rate of 1/14 of the dumpster per hour
\n" ); document.write( "Together, they unload at the rate of 1/10 + 1/14=7/70+5/70=12/70=6/35 of the dumpster per hour
\n" ); document.write( "So our equation to solve is:
\n" ); document.write( "(6/35)*x=1 (1 dumpster, that is)
\n" ); document.write( "6x=35
\n" ); document.write( "x=5 5/6 hr=5hr 50 min ---time it takes both cranes to unload the dumpster
\n" ); document.write( "So 12:00 noon +5 hr 50 min=5:50 pm---time that the unloading job was completed
\n" ); document.write( "Another approach would be:
\n" ); document.write( "1/10 +1/14=1/x
\n" ); document.write( "6/35=1/x
\n" ); document.write( "6x=35
\n" ); document.write( "same as before\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Hope this helps---ptaylor
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