document.write( "Question 338490: two cars leave a crossroads at the same time. One heads north at 50km/h and the other heads east at 70km/h. How far apart art the cars after 0.5h? After 2h? \n" ); document.write( "
Algebra.Com's Answer #242617 by fractalier(6550)![]() ![]() You can put this solution on YOUR website! If you make yourself a diagram, you'll notice that the distances represented by the car's travels are the sides of a right triangle...their distance at any time can be found using the Pythagorean Theorem.\r \n" ); document.write( "\n" ); document.write( "Now remember, rate times time equals ditance...\r \n" ); document.write( "\n" ); document.write( "After .5 hours, the north side is 25 km, and the east side is 35 km.\r \n" ); document.write( "\n" ); document.write( "Now apply a^2 + b^2 = c^2 and find c. \n" ); document.write( "We get c^2 = 25^ + 35^2 = 625 + 1225 = 1850 \n" ); document.write( "c = sqrt(1850) = about 43 km\r \n" ); document.write( "\n" ); document.write( "Now repeat the procedure for two hours travel...see if you get c = 172 km... \n" ); document.write( " |