document.write( "Question 269702: The time it takes to do homework includes a fixed amount of time to prepare plus a constant amount of time per problem. If a student can do 5 homework problems in 40 minutes, and 10 problems in 70 minutes, how many minutes will 25 problems take? \n" ); document.write( "
Algebra.Com's Answer #854076 by ikleyn(53742)\"\" \"About 
You can put this solution on YOUR website!
.
\n" ); document.write( "The time it takes to do homework includes a fixed amount of time to prepare plus a constant amount of time per problem.
\n" ); document.write( "If a student can do 5 homework problems in 40 minutes, and 10 problems in 70 minutes, how many minutes will 25 problems
\n" ); document.write( "take?
\n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "        Calculations in the post by @mananth are incorrect.\r
\n" ); document.write( "\n" ); document.write( "        I came to bring a correct solution.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Let the fixed time taken be x
\n" ); document.write( "The time to solve a problem be y
\n" ); document.write( "x+5y=40------------1
\n" ); document.write( "x+10y=70-----------2
\n" ); document.write( "subtract equation 2 from 1
\n" ); document.write( "(x+5y) - (x+10y) = 40-70
\n" ); document.write( "x+5y -x-10y = -30
\n" ); document.write( "-5y = -30
\n" ); document.write( "y = -30/-5
\n" ); document.write( "y = 6. Time taken to solve each problem is 6 minutes
\n" ); document.write( "x + 5y = 40 substitute the value of y in the equation
\n" ); document.write( "x + 30 = 40
\n" ); document.write( "x = 40-30 = 10 minutes will be the fixed time
\n" ); document.write( "25 problems will take (10 minutes + 6 *25)
\n" ); document.write( "= 160 minutes or 2 hours and 40 minutes.         ANSWER\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );