document.write( "Question 272367: A bus and a train leave a station at the same time.the bus travels soouth at 55 mph. the van heads west at 59 mph. There two way communication has a 250 mile range, how long could they drive before they were out of range with each other in hours and minutes? \n" ); document.write( "
Algebra.Com's Answer #199274 by checkley77(12844) ![]() You can put this solution on YOUR website! THIS IS A RIGHT TRIANGLE WITH SIDES=55T, 59T & 250. \n" ); document.write( "(55T)^2+(59T)^2=250^2 \n" ); document.write( "3,025T^2+3,481T^2=62,500 \n" ); document.write( "6,506T^2=62,500 \n" ); document.write( "T^2=62,500/6,506 \n" ); document.write( "T^2=9.6065 \n" ); document.write( "T=SQRT9.6065 \n" ); document.write( "T=3.1 HOURS OR 3 HRS. 6 MIN. \n" ); document.write( "PROOF: \n" ); document.write( "(55*3.1)^2+(59*3.1)^2=62,500 \n" ); document.write( "170,5^2+182.9^2=62,500 \n" ); document.write( "29,070.25+33,452.41=62,500 \n" ); document.write( "62,500~62,500 \n" ); document.write( " |