Question

A. Calculate the price of pit-run gravel delivered to the site per cubic yard (bank measure) based on the following data: The pit is located 10 miles from the site. Trucks cost $43.75 per hour including fuel and maintenance; they have 12 cubic yards (loose material) capacity and travel at an average speed of 30 miles per hour. The swell factor for this material is 15%. Trucks take 5 minutes to unload at the site. The loader costs $82.50 per hour and loads material at the pit at the rate of 40 cubic yards per hour. The truck driver’s wage is $45.00 per hour, and the equipment operator’s wage is $54.00 per hour.

Answer 1

At pit

Rate of loading = 40 cubic-yard per hour

Loaders cost =$82.5 per hr

Capacity of one truck = 12 cubic yards

time required to load a truck =12/40 hrs =0.3 hr

Cost for loading = 82.5*0.3 =24.75$

Average speed of truck =30 miles per hr

distance of site = 10 miles

time of travel =10/30 =0.33 hrs

unloading time =5 mins = 5/60 =0.0833 hrs

Total time between loading and unloading = 0.3+0.33+0.0833=0.7163 hr

wage for driver = 45*0.7163 =32.235$

equipment operators wage =54*0.7163=38.68$

truck cost =07163*43.75 =31.338$

total cost per trip =24.75+32.235+38.68+31.338 =99$

Given shrinkage =15%

therefore Actual volume of truck at site =12-0.15*12=10.2 cubic yards

Therefore price of pit run gravel delivered at site per cubic yard =99/10.2 =9.71$