Stacy and Katie plan to walk the 27-mile scenic route across Malibu, starting at opposite ends of the route at the same time. If Stacy's rate is 25% faster than Katie's, how far will Stacy have walked when they pass each other?

• Stacy's rate is 25% faster, meaning that she covers as much distance over the same time. So for every 9 miles total that the two cover, Stacy covers 5 and Katie covers 4. With a 27-mile route, and 27 breaking into ninths (3 * 9), the math works out cleanly via this conceptual method: With a 5:4 ratio and three sets of 9 miles to cover, Stacy will cover 15 miles and Katie will cover 12.
  
  Therefore, the correct answer is 15.
• 11 years agoHelpfull: Yes(3) No(4)
• we knoe speed is directly propotinal to distance.
  so let they meet at z distance
  then by ratio approach
  125:100::x:(27-x)
  solving it we get , x= 15..
• 11 years agoHelpfull: Yes(3) No(3)
• Total distance is 27 Miles
  the mid point will be 13.5 Miles
  stacy's speed is 25% faster than katie's
  so 13.5*1.25= 16.875 miles
  so stacy would have covered 16.875 miles when she passes Katie
• 11 years agoHelpfull: Yes(3) No(0)
• in solution of kuldeep patidar...
  speed of stacy is 1.25mile/unit.
  then in last
  (x/1.25)=(x-27/1)
  solve this then
  answer is x=33.75-1.25x
  & 2.25x=33.75
  the answer is x=33.75/2.25=15
  
• 11 years agoHelpfull: Yes(2) No(3)
• let speed of katie is 1 mile/unit
  than speed of stacy is 1.25 mile/unit
  let distance cover by any one is x and by second is (27-x)
  time taken by both when they cross each other is same
  (x/1.5)=(27-x)/1
  by sol. x=16.2 mile ans.
• 11 years agoHelpfull: Yes(1) No(6)
• speed of Stacy is 5/4mile/unit
  speed of Katie is 1 mile/unit
  time=distance/speed
  they will meet after t time
  by equating time--->
  4x/5=27-x
  so x= 15
• 10 years agoHelpfull: Yes(1) No(0)
• let Katie travel a miles...==> Stacy travel (27-a) miles
  
  Katie's speed= x
  Stacy's speed= 1.25x
  
  let they meet after t time
  t=a/x ;;; t=(27-a)/1.25x
  
  equating and solving both equations, we have, a=12 ==> stacy has to travel 15 miles
• 11 years agoHelpfull: Yes(0) No(1)
• Let speed of s= 125
  .............k= 100
  27/225 *125 = 15 ans
• 10 years agoHelpfull: Yes(0) No(0)