document.write( "Question 60562: Hiya guys i need help on these problems:\r
\n" );
document.write( "\n" );
document.write( "its like greek to me...dont understand it a bit!\r
\n" );
document.write( "\n" );
document.write( ">
\n" );
document.write( "The hiking club hiked to Robbers Cave State Park at 4 mph. They got a ride back to town in a truck that went 20 mph. If roundtrip took 18 hours how far was it from town to park?\r
\n" );
document.write( "\n" );
document.write( ">
\n" );
document.write( "Simon set out on a hike. After walking for some time at 5kph he caught a ride back home in a truck that traveled at 20 kph. If the roundtrip took 10 hours how far did he walk?\r
\n" );
document.write( "\n" );
document.write( " and last one...\r
\n" );
document.write( "\n" );
document.write( "There were 6 more girls than twice the number of boys. There were 36 boys and girls in all. How many boys and how many were there?\r
\n" );
document.write( "\n" );
document.write( " \n" );
document.write( "
Algebra.Com's Answer #41596 by jai_kos(139)![]() ![]() ![]() You can put this solution on YOUR website! Solution: \n" ); document.write( "a) The hiking club hiked to Robbers Cave State Park at 4 mph \n" ); document.write( " They got a ride back to town in a truck that went 20 mph. \n" ); document.write( " Formula: Total speed = total distance / total time. \n" ); document.write( " Total speed = (4 + 20) mph = 24mph \n" ); document.write( " Total time = 18hrs \n" ); document.write( " Substituting in the above formula, we have \n" ); document.write( " 24 = total distance / 18 \n" ); document.write( " 24 * 18 = total distance \n" ); document.write( " 432 = total distance \n" ); document.write( " Distance from park to the town + distance from the town to park = 432 \n" ); document.write( " Distance from park to the town = distance from the town to park \n" ); document.write( " So we write it as, \n" ); document.write( " 2 distance = 432 \n" ); document.write( " Distance = 432 /2 \n" ); document.write( " Distance = 216miles \n" ); document.write( " The distance from the park to the town is 216 miles. \r \n" ); document.write( "\n" ); document.write( "b) we use the similar concept to solve. \n" ); document.write( " Formula: Total speed = total distance / total time. \n" ); document.write( " 5 + 20 = total distance / 10 \n" ); document.write( " 25 = total distance / 10 \n" ); document.write( " 25 * 10 = total distance \n" ); document.write( " 250 = total distance \n" ); document.write( " Distance walked + distance came back to home = 250 \n" ); document.write( " Distance walked = distance came back to home \n" ); document.write( " So we write it as, \n" ); document.write( " 2 Distance walked = 250 \n" ); document.write( " Distance walked = 250 /2 \n" ); document.write( " Distance walked = 125 km\r \n" ); document.write( "\n" ); document.write( " c) Let the number of girls be “x” \n" ); document.write( " And the number of boys be “y” \n" ); document.write( " Given that there are 6 more girls than twice the number of boys \n" ); document.write( " i.e. 6x = 2y \n" ); document.write( " 3x = y --- (1) \n" ); document.write( " Also given there are 36, boys and girls in all. \n" ); document.write( " i.e. x + y = 36 --- (2) \n" ); document.write( " Substituting equation (1) in equation (2), we get \n" ); document.write( " x + 3x = 36 \n" ); document.write( " 4x = 36 \n" ); document.write( " x = 9 \n" ); document.write( " Now substitute the value of “x” in equation (1) we get \n" ); document.write( " 3* 9 = y \n" ); document.write( " 27 = y \n" ); document.write( " Therefore the number of girls are 9 and number of boys are 27 \n" ); document.write( " \n" ); document.write( " |