water system The number of inhabitants in a town was 25,000 in 1990 and 35,000 i
ID: 1920708 • Letter: W
Question
water system The number of inhabitants in a town was 25,000 in 1990 and 35,000 in 2010. The population is expected to increase linearly from 2010 onwards. The town draws its water supply from water wells which are able to deliver water at a rate of 18 m^3/min. The water consumption is estimated to be 250 Lpcd, and the maximum daily demand is 1.8 times the annual average and peak hourly demand is 1.5 times the daily maximum. Is the water supply from the water wells be sufficient to meet the needs of the community in 2030?Explanation / Answer
rate of population from 1990 to 2010 = (35000-25000)/20 = 500per year
from 2010 it is linear so population in 2030 =35000 + 20*500 =45000
delivery rate of water = 18 m^3/min = 18x60x24x103 lit/day = 2592x104 lit/day =108x10^4 lit/hr
water consumtion = 250Lpcd
daily water consumtion for entire population = 250x45000 Lit/day = 1125x104 lit/day
the maximum daily demand = 1.8x(annual avg demand) = 1.8x1125x104= 2025x104 lit/day
peak hourly demand = 1.5x2205x104 = 3037.5x10^4 lit/day = 126.56 lit/hr > 108x104 lit/hr
which is greater than actual supply so water supply can't meet the needs of the community in 2030
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