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    Question

    An electrician wants to cut a 120 m long wire

    into two pieces in such a way that one piece is one and half times longer than the other. What is the length of the shorter piece?
    A 12 m Correct Answer Incorrect Answer
    B 36 m Correct Answer Incorrect Answer
    C 66 m Correct Answer Incorrect Answer
    D 48 m Correct Answer Incorrect Answer
    E none of these Correct Answer Incorrect Answer

    Solution

    Let length of the shorter piece = x [if gte msEquation 12]>x [if !msEquation]--> [endif]--> ∴ Length of the longer piece = 1 `(1)/(2)` x [if gte msEquation 12]> 1 2 [if !msEquation]-->[endif]--> [if gte msEquation 12]>x [if !msEquation]--> [endif]--> = `(3)/(2)` x [if gte msEquation 12]> 3 2 [if !msEquation]--> [endif]--> [if gte msEquation 12]>x [if !msEquation]--> [endif]--> ∴ `(x)/(1)` [if gte msEquation 12]> x 1 [if !msEquation]--> [endif]--> + `(3)/(2)` [if gte msEquation 12]> 3 2 [if !msEquation]--> [endif]--> x = 120 ⇒ `(2x + 3x)/(2)` [if gte msEquation 12]> 2 x+3x 2 [if !msEquation]--> [endif]--> = 120 ⇒ 5 x = 240 ∴ x [if gte msEquation 12]>x [if !msEquation]--> [endif]--> = 48 m ∴ Length of the shorter piece = 48 m

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