Algebra

In an assembly line of a factory, which produces networking switching hubs, two robots are utilized. The first one (A) is able to produce 40 microchips per hour, whereas the second one (B) produces 30 microchips per hour. For a total production of 400 microchips, the two robots operated for 12 hours. How many hours did each robot work?

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  1. if the 12 hours is total, then

    30/hr*timeA+ 40/hr*TimeB=400
    and timeA+TimeB=12

    30*(12-timeB)+40*TimeB=400
    10timeB=400-360
    timeB=4hrs
    TimeA=8hrs

    check: 8*30+4*40=240+160=400

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    bobpursley

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