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TS Police Constable Prelims 2022 · Question 42

Question 42 of the TSLPRB Police Constable Preliminary Written Test 2022 (28 August 2022). Try it first, then open the answer and explanation.

  1. PC Prelims 2022 · Q42 · Arithmetic · Time & Work

    Pipe A alone can fill a tank in 24 minutes. Pipe B alone can fill the same tank in 36 minutes. Pipe A alone is opened for x minutes and Pipe B alone is opened for y minutes to fill the tank in 30 minutes. Then |x - y| = (in minutes)

    1. 12
    2. 10
    3. 8
    4. 6

    గొట్టం A ఒక్కటే ఒక తొట్టెను 24 నిమిషాలలో నింపగలదు. గొట్టం B ఒక్కటే ఒక తొట్టెను 36 నిమిషాలలో నింపగలదు. పైప్ A ఒక్కటే x నిమిషాలు, పైప్ B y నిమిషాలు పనిచేసి తొట్టెను 30 నిమిషాలలో నింపాయి. అపుడు |x - y| = (నిమిషాలలో)

    1. 12
    2. 10
    3. 8
    4. 6
    Show answer

    Answer: (4) 6

    సమాధానం: (4) 6

    The pipes run one after the other, so x + y = 30 and x/24 + y/36 = 1, i.e. 3x + 2y = 72. Putting y = 30 − x gives x = 12 and y = 18, so |x − y| = 6.

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