A pipe with square cross ndash section is supplying water to a cistern which was initially empty The...........

Quantitative Aptitude (CDS) Time and work

A pipe with square cross–section is supplying water to a cistern which was initially empty. The area of cross–section is 4 cm² and the nozzle velocity of water is 40 m/s. The dimensions of the cistern are 10 m × 8 m × 6 m. Then the cistern will be full in

9.5 hours

9 hours

8 hours 20 minutes

8 hours

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Explanation:

Area of cross-section of nozzle = 4 cm²
Velocity of water = 40 m/s = 4000 cm/sec
Water coming from nozzle in 1 sec
= 4 × 4000 = 16000 cm³
Dimension of cistern = 10 × 8 × 6 m³

=480 x 10⁶cm³

Time taken to fill the cistern = $\frac{480\times10^{6}}{16000} sec$