document.write( "Question 281723: A BOAT TRAVELING AT A SPEED OF 36 KM PER HOUR. IT HAS TO TRAVEL A DISTANCE OF 210 KM. HOW LONG WILL IT TAKE \n" ); document.write( "
Algebra.Com's Answer #204681 by PRMath(133)![]() ![]() ![]() You can put this solution on YOUR website! A BOAT TRAVELING AT A SPEED OF 36 KM PER HOUR. IT HAS TO TRAVEL A DISTANCE OF 210 KM. HOW LONG WILL IT TAKE\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "You just need to know ONE equation about rate, time and distance. \n" ); document.write( "You should always remember this equation:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Let's put it in terms of variables: \n" ); document.write( "Let's call Rate: R \n" ); document.write( "Let's call Time: T \n" ); document.write( "Let's call Distance: D\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So now we have:\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "What if you wanted to solve for R? Can you see that if you had RT = D that you could solve for \"R\" just by dividing T from both sides of the equation:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "RT = D \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "What if you wanted to solve for T? Can you see that if you had RT = D, that you could solve for \"T\" just be dividing R from both sides of the equation:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "RT = D \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So now from just ONE equation: RT = D, you can \"switch it around\" so to speak and solve for Rate or you can solve for T. \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "In this problem, you want to solve for TIME. So, thinking of our one equation of RT = D, we realize we want to solve for T. Therefore, we should use this equation: \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "What do we know? \r \n" ); document.write( "\n" ); document.write( "We know the Rate is 36 km per hour. R = 36 \n" ); document.write( "We know the Distance is 210 miles. D = 210\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Let's plug that info in: \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "SO the boat must travel for 5 hours and .83 of an hour. OR....\r \n" ); document.write( "\n" ); document.write( "5 hours and \n" ); document.write( ".83 of 60 minutes which is: 49.8 minutes ( \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The boat must travel for 5 hours and 49.8 minutes. \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "I hope this helps you. :-) \n" ); document.write( " |