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?

Question

Mathematics

Alvin Montoya

28 February, 18:11

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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Answers (1)

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Eliza Evans · Answer 1

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