Tree problem

A tree grows only 3/5 as fast as the one beside it. In four years the combined growth of the two trees is eight feet.
How much does the shorter tree grow in two years?
(a) Less than 2 feet (b) 2feet (c) 2 1/2 feet
(d) 3 feet (e) more than 3 feet.
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dinesh_sun7

  • May 21st, 2008
 

The Answer is a) less than 2 feet

explanation:
                      in 1 yr growth = 8 parts in 4 yrs it is 32 parts so
                                                    32*x=8
                                                     x=8/32
                                                      x=.25

small tree growth is 3 parts a yr so                              3x = 3*.25 = .75 feet
total growth in 2 yrs is                                             .75*2 = 1.5feet

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ga_nesh

  • May 25th, 2008
 

even after 4 years the ratio remains d same..therefore:


x+(3/5)x=8
thus x=5

therefore the height of the shorter tree is 3 feet after FOUR years..
therefore after TWO years the heght will be 1.5 ft..

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