Subject

    Bank Exam

    Topic

    Bangladesh Bank 2010 (AD)

    Machine A produces bolts at a uniform rate of 120 every 40 seconds and Machine B produce bolts at a uniform rate of 100 every 20 seconds. If the two machines run simultaneously, how many seconds will it take for tem to produce a total of 200 bolts.

    ক)
    22
    খ)
    25
    গ)
    28
    ঘ)
    32

    Explanation

    Machine A: In 40 seconds produces 120 bolts In 1 second produces 120 / 40 bolts = 3 bolts Machine B: In 20 seconds produces 100 bolts In 1 second produces 100 / 20 bolts = 5 bolts So, In 1 second with both machine simultaneously working, Produces = 3 + 5 bolts = 8 bolts Thus, 8 bolts is produced in 1 second 200 bolts is produced in (1 * 200) / 8 seconds = 25 seconds

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