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13 February, 03:19

Deon, a scheduler at Mangel-Wurzel Transport, gets a call from a regular customer needing to move 19.8m^3 of rock and soil, which Deon knows from previous experience has an average density of 650/kgm^3. Deon has available a dump truck with a capacity of 4m^3 and a maximum safe load of 3700kg.

A. Calculate the number of trips the dump truck will have to make to haul the customer's load away?

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  1. 13 February, 03:23
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    5 trips

    Step-by-step explanation:

    Note that the weight and volume of the load must not exceed the given maximum.

    Volume of load = 19.8m^3

    Density of load = 650kg/m^3

    Mass of load = 19.8 * 650 = 12,870 kg

    Given limits.

    Volume = 4m^3

    Mass = 3700kg

    Assuming the truck is to carry 4m^3 of the load.

    The mass of 4m^3 of the load is = 4 * 650 = 2600kg

    Mass = 2600kg < 3700kg

    Therefore it satisfies both conditions.

    The number of trip the truck would make is;

    N = total volume of load / volume per trip

    N = 19.8/4

    N = 4.95

    N = 5 trips
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