two boats go downstream from point x to point y.the faster boat covers the distance from x to y 1.5 times as fast as the slower boat.it sis known that for every hour the slower boat lags behind the faster boat by 8 km.however,if they go upstream,then the faster boatcovers the distance from y tox in half thetime as the slower boat.find the speed of faster boat in still water.

• Given,
  Speed of the faster boat Downstream = 1.5 * speed of the slower boat downstream ----------(1) [Difference in First hour]
  
  Speed of the Faster Boat Downstream = Speed of the slower boat + 8 ------------- (2)
  
  Using Equation (1) and (2), we get
  
  Speed of the faster Boat Downstream = 16 kmph
  
  Now,
  
  Time taken by the faster Boat / Time taken by the Slower boat Upstream = 1 /2
  
  Hence,
  
  Time taken by the faster Boat Upstream = 2* Time taken by the slower Boat Upstream --------(3)
  
  And,
  
  Faster boat's speed upstream - 8 = Slower boat's speed upstream -------- (4) Using (4) and (3), we get
  
  Speed of the faster Boat upstream = 8 kmph
  
  Thus,
  
  speed of the faster Boat in still wat
• 8 years agoHelpfull: Yes(3) No(0)
• 1.5 -1 = 8
  0.5 = 8
  1 = 16 km/h UPSTREAM
  2-1 = 8
  1=8 KMPH
  
  24-16/2 = 4 KMPH
  
  24-4 = 20 KM/H
• 7 years agoHelpfull: Yes(1) No(0)