please explain in steps if possible

Question

Kareem, a scheduler at Mangel-Wurzel Transport, gets a call from a regular customer needing to move 68.5m3 of rock and soil, which Kareem knows from previous experience has an average density of 740/kgm3. Kareem has available a dump truck with a capacity of 10m3

 and a maximum safe load of 5100.kg

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

Answer 1

Hello, Cha'lie,

I'll assume you meant to write 740kg/m³, not 740/kgm³.

Let's calculate the number of trips required based on both the truck capacity and the weight maximum.

Total Volume to be removed:

Total volume of soil: 68.5 m³

Density: 740 kg/m³

Mass of soil to be removed: (68.5 m³)*(740 kg/m³) = 50690 kg

Truck capacity: 10m³

Number of truckloads based on volume of soil^: 68.5 m³/10m³ = 6.85 Trips (7 trips)

Truck mass limit: 5100 kg/load

Number of truckloads based on mass limit: (5100 kg) (50690 kg)/(5100 kg/load) = 9.94 trips (10 trips)

The decidingin factor is the truck weight limit. Kareem needs to schedule 10 trips.

Bob