Flooding from Hurricane Harvey has caused water pump failure and left the city o
ID: 1077087 • Letter: F
Question
Flooding from Hurricane Harvey has caused water pump failure and left the city of Beaumont, Texas (population 118,000) without clean drinking water. Bottled water must be shipped to the city by semi-trailer trucks, which have standard inner trailer dimensions of 52 ft long x 99 in wide x 110.25 in tall. The bottled water is packaged on wooden pallets with standard dimensions of 48 in long x 42 in wide x 6.5 in tall. Each pallet contains 78 cases of 24 16.9 oz bottles of water stacked 6 cases high on the pallet.
Given that the average person should drink 48 to 64 oz of water per day, estimate the number of semi-trailer trucks full of water that must deliver to Beaumont, Texas each day until the water pumps are fixed.
Explanation / Answer
Assume the shape of the trailer to be a cuboid (as well as wooden pallet)
Volume of a standard inner trailer = length*breadth*height =52ft*99in*110.25in
Volume of a standard inner trailer = 624in *99in *110.25in = 6810804 in3
Volume of 1 wooden pallet = 48in *42in * 6.5in = 13104 in3
Volume of water in 1 case = (2416.9 oz / 78) = 30.9858 oz
But it is given that avg person needs 64 oz of water per day so, (64oz / 30.9858oz) = 2.0656
cases of water is required for single person.
No of cases required for 118,000 people = 2.0656*118,000 = 243740.8
No of wooden pallets required = (64oz*243740.8) / (2416.9oz) = 6454.3055
1 Pallet occupies 13104 in3
6454.3055 pallets occupy ? in3
Cross multiply to get the answer,
6454.3055 pallets occupy 84577220.56 in3
No of semi-trailer trucks that must deliver to Beaumont =(vol occupied by 6454.3055 pallets/Vol of inner trailer)
= ( 84577220.56 in3 / 6810804 in3) = 12.41809 ~ 13 trucks
13 semi trailer trucks of water must deliver to Beaumont, Texas each day until the water pumps are fixed.
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.