Ex 13.5, 6
A village, having a population of 4000, requires 150 litres of water per head per day. It has a tank measuring 20 m × 15 m × 6 m. For how many days will the water of this tank last?
Number of days water will last
= (𝑉𝑜𝑙𝑢𝑚𝑒 𝑜𝑓 𝑡𝑎𝑛𝑘 )/(𝑇𝑜𝑡𝑎𝑙 𝑤𝑎𝑡𝑒𝑟 𝑟𝑒𝑞𝑢𝑖𝑟𝑒𝑑 𝑝𝑒𝑟 𝑑𝑎𝑦)
Here, 𝑙 = 20 m, b = 15 m and h = 6 m.
Volume of the tank = 𝑙 × b × h
= (20 × 15 ×6) m3
= 1800 m3
Water required per person per day = 150 litres
Water required for 4000 person per day = (4000 × 150) litres
= 4000 × 150 × (1/1000) m3
= 600 m3
Number of days water will last = (𝐶𝑎𝑝𝑎𝑐𝑖𝑡𝑦 𝑜𝑓 𝑡𝑎𝑛𝑘 )/(𝑡𝑜𝑡𝑎𝑙 𝑤𝑎𝑡𝑒𝑟 𝑟𝑒𝑞𝑢𝑖𝑟𝑒𝑑 𝑝𝑒𝑟 𝑑𝑎𝑦)
= ((1800 𝑚3)/(600 𝑚3))
= 30
Thus, the water will last for 30 days.
Number of days water will last = (𝑉𝑜𝑙𝑢𝑚𝑒 𝑜𝑓 𝑡𝑎𝑛𝑘 )/(𝑇𝑜𝑡𝑎𝑙 𝑤𝑎𝑡𝑒𝑟 𝑟𝑒𝑞𝑢𝑖𝑟𝑒𝑑 𝑝𝑒𝑟 𝑑𝑎𝑦)
= ((1800 𝑚3)/(600 𝑚3))
= 3
Thus, the water will last for 3 days.

Made by

Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.

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