document.write( "Question 903162: Billy leaves home walking to school at 1.7 m/s. His sister Sally is running a bit late and leaves home 8.5 minutes late going 4.2 m/s on her bike. How long will it take for Sally to catch up to billy? How far away from home will they be when she catches him? \n" ); document.write( "
Algebra.Com's Answer #547832 by lwsshak3(11628) ![]() You can put this solution on YOUR website! Billy leaves home walking to school at 1.7 m/s. His sister Sally is running a bit late and leaves home 8.5 minutes late going 4.2 m/s on her bike. How long will it take for Sally to catch up to billy? How far away from home will they be when she catches him? \n" ); document.write( "*** \n" ); document.write( "1.7 m/s=60*1.7=102 m/min (Billy's speed) \n" ); document.write( "4.2 m/s=60*4.2=252 m/min (Sally's speed) \n" ); document.write( ".. \n" ); document.write( "let x=Sally's travel time \n" ); document.write( "x+8.5=Billy's travel time \n" ); document.write( "distance=speed*travel time(same for both Sally ans Billy) \n" ); document.write( ".. \n" ); document.write( "252x=102(x+8.5) \n" ); document.write( "252x=102x+867 \n" ); document.write( "150x=867 \n" ); document.write( "x=5.78 min \n" ); document.write( "252x=1456.56 m \n" ); document.write( "How long will it take for Sally to catch up to billy? 5.78 min \n" ); document.write( "How far away from home will they be when she catches him? 1456.56 m \n" ); document.write( " |