Question

A 25-mile-long, 9-yard-wide, two-lane highway (each lane 4.5 yard) is to be paved with a 5 cm thick layer of asphalt. A fleet of three dump-trucks is to be employed, each with an empty mass of 20 metric tons and a carrying capacity of 20 m3. Asphalt with a density of 0.72 g/cm3 will be used Determine a) the total volume of asphalt needed in m3 b) the number of dump-truck loads required c) the gross mass of each truck in kg. [gross mass includes the mass of the truck and its load] 2. Note: you need to use the following information: 1 mile 1609 m 1 yard 3 ft. 1 ft 12 in 1 yard 0.9144 m 1 m 100 cm

Answer 1

25 mile = 25 times 160 g = 40225 m 9 yd = 8.23 m 5 cm = 0.05 m hence total volume = 40225 times 8.23 times .05 = 16552.6 m^3 number of dump truck required N = 16552.6/20 = 827.63 almostequalto 828 Total mass of each truck = 20 times 10^3 kg + 720 times 20 = 34400 kg