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Question
A hose-pipe of cross section area 3 cm2 delivers 1800 liters of water in 10 minutes. Find the speed of water in km/h through the pipe.
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Solution
Water delivered in 10mins
= 1800liters
= 1800 x 1000cm3
Volume of water
= Speed of water (in cm/m in) x Area of cross-section x Time
1800000 = Speed x 3 x 10
∴ Speed = 60000 cm/mn
`1"cm"/"mn"`
= `(1 + 100000 "km")/(1 + 60"hr")`
= `(60)/(100000)`
= `(6)/(10000)`km/hr
∴ Speed
= `60000 xx (6)/(10000)`km/hr
= 36km/hr
∴ The speed of the water through the pipe is 36km/hr.
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