document.write( "Question 1163274: Hello I need to learn formulas for distance word problems in algebra one. Here is an example of a question: Lewis ran to the store at 8 km/h and then walked home at 3 km/h. How far was it to the store, if the round trip took 11 hours? \n" ); document.write( "
Algebra.Com's Answer #787318 by Alan3354(69443)![]() ![]() You can put this solution on YOUR website! Lewis ran to the store at 8 km/h and then walked home at 3 km/h. How far was it to the store, if the round trip took 11 hours? \n" ); document.write( "-------------- \n" ); document.write( "d = distance to the store. \n" ); document.write( "time going = d/8 hours \n" ); document.write( "time back = d/3 hours \n" ); document.write( "----- \n" ); document.write( " \n" ); document.write( "3d + 8d = 264 \n" ); document.write( "11d = 264 \n" ); document.write( "d = 24 kms \n" ); document.write( "--------------------- \n" ); document.write( "Check \n" ); document.write( "24/8 + 24/3 = 3+8 = 11 hours \n" ); document.write( "========================================== \n" ); document.write( "I need to learn formulas for distance word problems --- \n" ); document.write( "--- \n" ); document.write( "That's not a formula, it's how you solve it. \n" ); document.write( "-- \n" ); document.write( "For a formula, for any round-trip, or trip of 2 equal lengths: \n" ); document.write( "Avg speed = \n" ); document.write( "Avg speed = 2*8*3/(8+3) = 48/11 km/hr \n" ); document.write( "avg speed*11 = 48 km round trip ---> 24 km each way \n" ); document.write( "Notice that the distance is not relevant to finding the avg speed. \n" ); document.write( "============================== \n" ); document.write( "There are a LOT of formulas. Too many for anyone to remember them all. \n" ); document.write( "But, this one for average speed is similar to that of parallel resistors and parallel work, so it's not difficult to remember.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |