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Keisha, a scheduler at Mangel-Wurzel Transport, gets a call from a regular customer needing to move 70.3 m of rock and soil, which Keisha knows from previous experience has an average density of 880 kg/m". Keisha has available a dump truck with a capacity of 9 m and a maximum safe load of 5300 kg. Calculate the number of trips the dump truck will have to make to haul the customer's load away.

Sagot :

Answer:

"12 trips" is the correct answer.

Explanation:

Given:

Density,

= 880 kg/m

Volume,

= 70.3 m³

Safe load,

= 5300 kg

Now,

The total mass of dump will be:

= [tex]Density\times Volume[/tex]

= [tex]880\times 70.3[/tex]

= [tex]61864 \ Kg[/tex]

By going through the safe mode, the number of trips will be:

= [tex]\frac{Total \ mass}{Safe \ load}[/tex]

= [tex]\frac{61864}{5300}[/tex]

= [tex]11.57 \[/tex]

hence,

By going through the volume, the number of trips will be:

= [tex]\frac{70.3}{9}[/tex]

= [tex]7.8[/tex]

Thus the truck needs to make 11.57 trips i.e., 12 trips.