document.write( "Question 427284: A hiker begins a 25 km(point B) hike from point A at 7am travelling at a rate of 4km per hour. At 9:30, a bike rider leaves point B travelling at a rate of 16 km per hour. What time will the hiker and biker cross paths (meet)? At what kilometer will they meet? \n" ); document.write( "
Algebra.Com's Answer #297155 by mananth(16946) You can put this solution on YOUR website! Hiker 4 km/h \n" ); document.write( "Biker 16 km/h 2.5 hours late \n" ); document.write( "Distance 25 miles \n" ); document.write( "In 2.5 hours Hiker has traveled 10 miles before Biker starts \n" ); document.write( "So distance = 15 when Biker starts \n" ); document.write( "Let time they meet be x hours \n" ); document.write( "Hiker distance traveled 4x miles \n" ); document.write( "Biker distance traveled 16(15 -x) \n" ); document.write( " \n" ); document.write( "Time taken to meet is same \n" ); document.write( "t=d/r \n" ); document.write( "combined speed= 20 mph \n" ); document.write( " \n" ); document.write( "20x=15 \n" ); document.write( "x= 0.75 hours \n" ); document.write( "Hiker 4x=3 miles \n" ); document.write( "Hiker would have traveled 3+10=13 miles \n" ); document.write( "Biker (25-13)=12 miles \n" ); document.write( "They will cross at 10:15 AM \n" ); document.write( " |