document.write( "Question 985702: 1. You and your brother both leave your house at the same instant and drive in separate cars along a straight highway to a nearby lake. After 10 min, you are both 3.0 km from your house. You are now driving at 70 km/h , and you continue at this constant speed; your brother is going faster than this. After another 18 min , your brother arrives at the lake, but you are still 7.0 km away.\r
\n" ); document.write( "\n" ); document.write( "a) how far is it from your house to the lake?
\n" ); document.write( "b) what is your brother's average speed?
\n" ); document.write( "c) your brother beats you to the lake by what time?
\n" ); document.write( "

Algebra.Com's Answer #606540 by ankor@dixie-net.com(22740)\"\" \"About 
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After 10 min, you are both 3.0 km from your house.
\n" ); document.write( " You are now driving at 70 km/h , and you continue at this constant speed; your brother is going faster than this.
\n" ); document.write( " After another 18 min , your brother arrives at the lake, but you are still 7.0 km away.
\n" ); document.write( ":
\n" ); document.write( "a) how far is it from your house to the lake?
\n" ); document.write( "convert 18 min to hrs: 18/60 = .3 hrs
\n" ); document.write( "d = 3 + .3(70) + 7
\n" ); document.write( "d = 3 + 21 + 7
\n" ); document.write( "d = 31 km to the lake
\n" ); document.write( ":
\n" ); document.write( "b) what is your brother's average speed?
\n" ); document.write( "It took him 18 min to travel 31-3 = 28 km
\n" ); document.write( "18 min to hrs: 18/60 = .3 hrs
\n" ); document.write( "s = \"28%2F.3\"
\n" ); document.write( "s = 93\"1%2F3\" km/hr from the 3 km point
\n" ); document.write( ":
\n" ); document.write( "c) your brother beats you to the lake by what time?
\n" ); document.write( "Your time for the last 28 km
\n" ); document.write( "t = \"28%2F70\"
\n" ); document.write( "t = .4 hrs which is .4(60) = 24 min
\n" ); document.write( "24 - 18 = 6 min, beat you by this time
\n" ); document.write( "
\n" );