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12 January, 18:44

A truck is passing over a bridge with a weight limit of 50,000 pounds. When empty, the front of the truck weighs 19,800 pounds and the back of the truck weighs 12,500 pounds. How much cargo (C), in pounds, can the truck carry and still be allowed to pass over the bridge?

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  1. 12 January, 22:33
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    W = 17,700 lb

    Explanation:

    given,

    Weight limit of the Bridge = 50,000 lb

    Weight of empty truck = 19800 lb

    Weight on the back of the truck = 12500 lb

    Now,

    Total weight of truck + cargo

    = Weight of empty truck + Weight on the back of the truck

    = 19800 + 12500

    = 32300 lb

    Weight of cargo which is still allowed.

    W = weight limit - weight of the system at present

    W = 50000 - 32300

    W = 17,700 lb

    Weight Truck can still carry is equal to W = 17,700 lb
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