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    Deepak left his office and walked towards East for 5 km and then turned left and walked for 12 km to reach his home. Madan, who works in the same offi
    Question

    Deepak left his office and walked towards East for 5 km and then turned left and walked for 12 km to reach his home. Madan, who works in the same office, left the office and walked towards West for 5 km and then turned left and walked for 12 km to reach his home. What is the shortest distance between Deepak’s and Madan’s home?

    A.

    17 km

    B.

    24 km

    C.

    26 km

    D.

    34 km

    Correct option is C

    Given:
    • Deepak left his office and walked towards East for 5 km and
    • Then turned left and walked for 12 km to reach his home.
    • Madan, who works in the same office, left the office and walked towards West for 5 km and
    • Then turned left and walked for 12 km to reach his home.
    According to the given information path diagram will be-
    Shortest distance = ​(5)2+(12)2+(5)2+(12)2\sqrt{(5)^2 + (12)^2} + \sqrt{(5)^2 + (12)^2}
    Shortest distance = 25+144+25+144\sqrt{25 + 144} + \sqrt{25 + 144}​​
    Shortest distance = 169+169\sqrt{169} + \sqrt{169}​​
    Shortest distance = 13 km + 13 km
    Shortest distance = 26 km
    Thus, the correct answer is (c).

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