Question : 50 trees are standing in a line such that the distance between any two consecutive trees is the same. A car takes 18 seconds to travel from the 13th tree to the 34th tree. How much time (in seconds) will it take to reach from the first tree to the 50th tree?
Option 1: 42
Option 2: 42.85
Option 3: 45
Option 4: 49
Correct Answer: 42
Solution :
Let $x$ be the distance between two consecutive trees.
Distance between 13
th
tree and 34
th
tree = $(33x-12x) = 21x$
Time to travel from 13
th
tree to 34
th
tree = 18 seconds
$\therefore$ Speed = $\frac{\text{Distance}}{\text{Time}}=\frac{21x}{18}$
Distance between 1
st
and 50
th
tree = $49x$
$\therefore$ Time to travel from 1
st
to 50
th
tree = $\frac{\text{Distance}}{\text{Speed}}=\frac{49x}{\frac{21x}{18}}$ = 42 seconds
Hence, the correct answer is 42.
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