document.write( "Question 1719: I have 2 questions!\r
\n" ); document.write( "\n" ); document.write( "1. The speed of a stream is 6MPH. If a boat travels 92 miles downstream in the same time that it takes to travel 46 miles upstream, what is the speed of boat in still water. ( I know the answer is 18 MPH, just need to know the solution)\r
\n" ); document.write( "\n" ); document.write( "2. Martha can rake the leaves in her yard in 2 hours. Her younger brother can do the job in 3 hours. How long will it take them to do the job if they work together. ( I know the answer is 5/6 hours, just need to know the solution)
\n" ); document.write( "

Algebra.Com's Answer #601 by longjonsilver(2297)\"\" \"About 
You can put this solution on YOUR website!
ok...first define speed of boat in still water to be v (or whatever letter you want).\r
\n" ); document.write( "\n" ); document.write( "downstream, its speed is v+6. Upstream, its speed is v-6.\r
\n" ); document.write( "\n" ); document.write( "Now, speed = distance/time, so:\r
\n" ); document.write( "\n" ); document.write( "downstream: \"%28v%2B6%29=%2892%29%2Ft\"
\n" ); document.write( "upstream: \"%28v-6%29=%2846%29%2Ft\"\r
\n" ); document.write( "\n" ); document.write( "Re-arranging these 2 and equating for t, gives:\r
\n" ); document.write( "\n" ); document.write( "\"%2892%29%2F%28v%2B6%29+=+%2846%29%2F%28v-6%29\"\r
\n" ); document.write( "\n" ); document.write( "Re-arranging again gives v=18mph\r
\n" ); document.write( "\n" ); document.write( "====================================================
\n" ); document.write( "2. using speed=distance/time as a start, where distance, d, is the area covered really...\r
\n" ); document.write( "\n" ); document.write( "speed of martha = d/2
\n" ); document.write( "speed of brother = d/3\r
\n" ); document.write( "\n" ); document.write( "together, their speed is \"%28d%2F2%29+%2B+%28d%2F3%29\", and they cover the same space..the yard, so distance is still d...just need to find the time...\r
\n" ); document.write( "\n" ); document.write( "\"%28d%2F2%29+%2B+%28d%2F3%29+=+%28d%2Ft%29\"\r
\n" ); document.write( "\n" ); document.write( "cancel the d's gives...\r
\n" ); document.write( "\n" ); document.write( "\"%281%2F2%29+%2B+%281%2F3%29+=+%281%2Ft%29\", giving\r
\n" ); document.write( "\n" ); document.write( "\"%285%2F6%29+=+%281%2Ft%29\"\r
\n" ); document.write( "\n" ); document.write( "or \"t+=+%286%2F5%29\" hours.\r
\n" ); document.write( "\n" ); document.write( "So, hopefully, you have misread the answer. Alternatively, I have the answer wrong!!!\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "cheers
\n" ); document.write( "Jon.
\n" ); document.write( "
\n" );