Question

Water flows in a tank 150 m × 100 m at the base, through a pipe whose cross-section is 2 dm by 1.5 dm, at a speed of 15 km per hour. In what time will the water be 3 metre deep ? 

(a) 100 hour 

(b) 120 hour 

(c) 140 hour 

(d) 150 hour

Answer 1

(a) 100 hours

Time required (in hours) = \(\frac{\text{Volume of water in the tank}}{\text{Volume of water flowing through the pipe per hour}}\)

= \(\frac{150\times100\times3}{0.2\times0.15\times15000}\) = 100 hours