Q. A person needs 6 steps to cover a distance of one slab. If he increases his foot length (step length) by 3 inches he needs only 5 steps to cover the slabs length. What is the length of the each slab.

• 90 inches or 7.5 feet
  
  let the length of each step be x,
  distance of each slab is 6x. (6 steps = one slab) ...(i)
  
  length of each step is increased by 3 inches so
  distance of each step is now x+3
  distance of each slab is 5(x+3) (5 steps = one slab) ... (ii)
  
  distance of each slab from (i) and (ii) are equal
  
  6x = 5(x+3)
  
  x = 15...
  substituting x in (i) or (ii) we get
  distance of each step is 90 inches or 90/12 i.e 7.5 feet
• 10 years agoHelpfull: Yes(6) No(1)
• 7 1/2 Feet.
  If length of each slab=x & Foot=y ,then
  x/y=6 --(i) &
  x/[y+(1/4)]=5 --(ii)
  Solving (i) & (ii), y=1.25 ,x=7.5
  
• 10 years agoHelpfull: Yes(1) No(1)
• Length of 1 slab = x , Length of foot = y
  x = 6y and x = 5(y+3/12)
  on solving we get x = 7.5,y =1.25
  Ans = 7.5 feet
• 10 years agoHelpfull: Yes(1) No(0)