unceptQUESTIONSA tank is 7 m long and 4 m wide. At what speed should w

1.	unceptQUESTIONSA tank is 7 m long and 4 m wide. At what speed should water run through a pipe 5 cmbroad and 4 cm deep, so that in 6 h and 18 min, water level in the tank rises by(a) 12 km/h(b) 10 km/h(c) 14 km/h(d) 18 km/h
Answer» Ans: option(b) 10 km/hr Volume of the water required for rising the water level by 4.5 metre= 7 × 4 × 4.5 = 126 m3 Time in which the tank needs to be filled = 6 hours and 18 minutes =6+18/60hr =6+3/10hr =63/10hr Therefore, amount of water that needs to be supplied by the pipe in 1 hr126(63/10)=126×10/63=20m3/hr Area of the pipe = 5×4 = 20 cm2 = 0.002 m2 Required speed of the water = 20/0.002 = 10000 m/hr = 10 km/hr thank you

unceptQUESTIONSA tank is 7 m long and 4 m wide. At what speed should water run through a pipe 5 cmbroad and 4 cm deep, so that in 6 h and 18 min, water level in the tank rises by(a) 12 km/h(b) 10 km/h(c) 14 km/h(d) 18 km/h

Answer»

Ans: option(b) 10 km/hr

Volume of the water required for rising the water level by 4.5 metre= 7 × 4 × 4.5 = 126 m3

Time in which the tank needs to be filled = 6 hours and 18 minutes =6+18/60hr =6+3/10hr =63/10hr

Therefore, amount of water that needs to be supplied by the pipe in 1 hr126(63/10)=126×10/63=20m3/hr

Area of the pipe = 5×4 = 20 cm2 = 0.002 m2

Required speed of the water = 20/0.002

= 10000 m/hr = 10 km/hr

thank you