There are two trees in a lawn. One grows at a rate 3/5 of the other in 4 years. If the total growth of trees is 8 ft. What is the height of the smaller tree after 2 years

• Assume the growth of big tree after 4 yrs. is 'x' ft.
  so the height of small tree is x*3/5 = 3/5 x.
  As the total is 3/5 x + x = 8 we get x= 5 ft.
  so in 4 years the big tree has grown to 5 ft height.
  In two years it was of 5/2 ft. ht.
  So 5/2 * 3/5 = 3/2 ft = 1.5 ft was the ht.of small tree after 2 years -- the answer.
• 13 years agoHelpfull: Yes(37) No(1)
• Qn is not clear whether reqd heigt is after 2 years from start or 2 years after 4 yrs.
  so both solutions are given here.
  Let the growth of big tree after 4 yrs. is 'x' ft.
  so the height of small tree will be x*3/5 = 3x/5.
  As the total is 3x/5 + x = 8 ,
  we get x= 5 ft.
  Ht of smaller tree = 3ft
  so in 4 years the smaller tree has grown to 3 ft.
  In first two years , its height was 3/2 = 1.5 ft.
  the ht.of small tree after 2 years from now ( so total after 6 yrs) will be 3+3/3= 4.5 ft
• 13 years agoHelpfull: Yes(8) No(14)