document.write( "Question 634167: Tom and Jerry have to sort and organize all the nails on their father's workbench. Tom can sort 220 nails in 2 hours. Jerry can sort 150 nails in 3 hours. How long will it take them to sort 500 nails if they work together (round to the nearest hundredth)? \n" ); document.write( "
Algebra.Com's Answer #399405 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Tom and Jerry have to sort and organize all the nails on their father's workbench. \n" ); document.write( " Tom can sort 220 nails in 2 hours. Jerry can sort 150 nails in 3 hours. \n" ); document.write( " How long will it take them to sort 500 nails if they work together (round to the nearest hundredth)? \n" ); document.write( ": \n" ); document.write( "Let t = no. of hrs for 500 nails working together \n" ); document.write( ": \n" ); document.write( "Find how many nails each can sort in an hour \n" ); document.write( "Tom: 220/2 = 110 per hr \n" ); document.write( "Jerry: 150/3 = 50 \" \" \n" ); document.write( ": \n" ); document.write( "110t + 50t = 500 \n" ); document.write( "160t = 500 \n" ); document.write( "t = 500/160 \n" ); document.write( "t = 3.125 hrs which is 3 + .125(60) = 3 hrs 7.5 minutes \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "We can confirm this \n" ); document.write( "3.125(110) + 3.125(50) = 500 \n" ); document.write( " |