Question

A hose-pipe of cross-section area $2$ $c{m}^2$ delivers $1500$ litres of water in $5$ minutes. What is the speed of water in $m/s$ through the pipe?

• A. $25$ $m/s$
• B. $20$ $m/s$
• C. $15$ $m/s$
• D. $19$ $m/s$

Answer 1

The correct option is A $25$ $m/s$

Volume of water $=1500$ litres $=1500\ast 1000$ $c{m}^3$ $=1500000$ $c{m}^3$

Cross-section area $2$ $c{m}^2$

Time $=5$ min$=5\times 60=300$ sec

Volume is given in $5$ min through $2c{m}^2$ cross section area hose pipe.

So,

Speed of water $=$ Volume of water/cross-section area*time

$S=\frac{1500000}{2\times 300}=2500$ $cm/s=25m/s$