A river 3 m deep and 40 m wide is flowing at the rate of 2 km per hour

1.	A river 3 m deep and 40 m wide is flowing at the rate of 2 km per hour. How much water will fall into the sea in a minute ?
Answer» Depth of river, h = 3m breadth, b = 40 m 1 Km. = 1000 m ∴ 2 Km. = 2000 m. Speed of the river per hour is 2 Km. For 60 minutes, 2000m For 1 minute …?… \(= \frac{2000}{60}\) = \(\frac{100}{3}\)m/minute ∴ Depth of river in 1 minute, l = \(\frac{100}{3}\)m. Volume of water flows in 1 minute, v = l × b × h = \(\frac{100}{3}\) × 40 × 3 = 4000 m³ ∴ In One minute, 4000 m³ water reaches the sea.

A river 3 m deep and 40 m wide is flowing at the rate of 2 km per hour. How much water will fall into the sea in a minute ?

Answer»

Depth of river, h = 3m

breadth, b = 40 m

1 Km. = 1000 m

∴ 2 Km. = 2000 m.

Speed of the river per hour is 2 Km.

For 60 minutes, 2000m

For 1 minute …?…

\(= \frac{2000}{60}\)

= \(\frac{100}{3}\)m/minute

∴ Depth of river in 1 minute, l = \(\frac{100}{3}\)m.

Volume of water flows in 1 minute,

v = l × b × h

= \(\frac{100}{3}\) × 40 × 3 = 4000 m³

∴ In One minute, 4000 m³ water reaches the sea.