High School

Look at the three trees and the paths between them.

Vani walks from Tree 1 to Tree 2 and then to Tree 3, covering 335 metres in total. Raj walks from Tree 2 to Tree 3, then to Tree 1, and finally returns to Tree 2, covering 540 metres in total.

How far is Tree 1 from Tree 3?

Options:
A. 205 metres
B. 875 metres
C. (we can't say)
D. 215 metres

Answer :

The distance from tree 1 to tree 3 is about 205 meters.

Equation

An equation is an expression used to show the relationship between two or more variables and numbers.

Let a represent the distance from tree 1 to 2, b from 2 to 3 and c from tree 3 to 1.

Hence:

a + b = 335

Also:

b + c + a = 540

a + b + c = 540

335 + c = 540

c = 205 meters

The distance from tree 1 to tree 3 is about 205 meters.

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