A tank is 7 metre long and 4 meter wide wide. At what speed should water run through a pipe 5 cm broad and 4 cm deep so that in 6 hours and 18 minutes water level in the tank rises by 4.5 meter?

Rate of flow of water = x cm/minute
∴ The volume of water that flowed in the in 1 minute
= (5 × 4 × x) = 20x cu.cm.

∴ The volume of water that flowed in the tank in 6 hours 18 minutes.
i.e. (6 × 60) + 18 = 378 minutes
= 2x × 378 cu. cm.

According to question,
20x × 378 = 700 × 400 × 450
⇒ x = (700 × 400 × 450)/(20 × 378) cm/minutes
⇒ x = (700 × 400 × 450 × 60)/(20 × 378 × 100000) km/hours
⇒ x = 10 km/hrs.