Question

The capacity of a dump truck is listed by the manufacturer as 10 yd3 . A construction site requires the removal of of dirt, and the contractor has four identical trucks. How many trips will each need to make

Answer 1

Question:

The capacity of a dump truck is listed by the manufacturer as 10 yd^3. A construction site requires the removal of 200 m^3 of dirt, and the contractor has three identical trucks. How many trips will each need to make?

Answer:

7 trips

Explanation:

Given

`Capacity = 10yd^3`

`Dirts = 200m^3`

`Trucks = 4`

Required

Determine the number of trips of each truck

Divide the volume of dirts by 4 to get the portion of each truck

`Each\ Truck = (200m^3)/(4)`

`Each\ Truck = 50m^3`

Divide the portion of each truck by capacity of each truck to get the number of trip

`Trip = (50m^3)/(10yd^3)`

Convert m^3 to yd^3

`Trip = (50 * 1.30795yd^3)/(10yd^3)`

`Trip = (65.3975yd^3)/(10yd^3)`

`Trip = (65.3975)/(10)`

`Trip = 6.53975`

Approximate:

`Trip = 7`