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

Given:

A river $3\ m$ deep and \( 40 \mathrm{~m} \) wide is flowing at the rate of \( 2 \mathrm{~km} \) per hour.

To do:

We have to find the amount of water that falls into the sea in a minute.

Solution:

Area of the river $=$ Depth $\times$ Width

$=3\times40\ m^2$

$=120\ m^2$

Amount of water that falls into the sea in a minute$=$ Area of the river $\times$ Flowing rate

$=120\times(\frac{2\times1000}{1\times60})\ \frac{m^3}{min}$

$=4000\ \frac{m^3}{min}$

$4000\ m^3$ of water will fall into the sea in a minute.

Related Articles A river 3 m deep and \( 40 \mathrm{~m} \) wide is flowing at the rate of \( 2 \mathrm{~km} \) per hour. How much water will fall into the sea in a minute?
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?
Find the cost of digging a cuboidal pit \( 8 \mathrm{~m} \) long, \( 6 \mathrm{~m} \) broad and \( 3 \mathrm{~m} \) deep at the rate of Rs. 30 per \( \mathrm{m}^{3} \).
A farmer runs a pipe of internal diameter \( 20 \mathrm{~cm} \) from the canal into a cylindrical tank in his field which is \( 10 \mathrm{~m} \) in diameter and \( 2 \mathrm{~m} \) deep. If water flows through the pipe at the rate of \( 3 \mathrm{~km} / \mathrm{h} \), in how much time will the tank be filled?
Water flows at the rate of \( 15 \mathrm{~km} / \mathrm{hr} \) through a pipe of diameter \( 14 \mathrm{~cm} \) into a cuboidal pond which is \( 50 \mathrm{~m} \) long and \( 44 \mathrm{~m} \) wide. In what time will the level of water in the pond rise by \( 21 \mathrm{~cm} \)?
A cuboidal water tank is \( 6 \mathrm{~m} \) long, \( 5 \mathrm{~m} \) wide and \( 4.5 \mathrm{~m} \) deep. How many litres of water can it hold? \( \left(1 \mathrm{~m}^{3}=1000 t\right) \).
The inner diameter of a circular well is \( 3.5 \mathrm{~m} \). It is \( 10 \mathrm{~m} \) deep. Find(i) its inner curved surface area,(ii) the cost of plastering this curved surface at the rate of Rs. \( 40 \mathrm{per} \mathrm{m}^{2} \).
A canal is \( 300 \mathrm{~cm} \) wide and \( 120 \mathrm{~cm} \) deep. The water in the canal is flowing with a speed of \( 20 \mathrm{~km} / \mathrm{h} \). How much area will it irrigate in 20 minutes if \( 8 \mathrm{~cm} \) of standing water is desired?
Find the areas of the rectangles whose sides are :(a) \( 3 \mathrm{~cm} \) and \( 4 \mathrm{~cm} \)(b) \( 12 \mathrm{~m} \) and \( 21 \mathrm{~m} \)(c) \( 2 \mathrm{~km} \) and \( 3 \mathrm{~km} \)(d) \( 2 \mathrm{~m} \) and \( 70 \mathrm{~cm} \)
Water is flowing at the rate of \( 2.52 \mathrm{~km} / \mathrm{h} \) through a cylindrical pipe into a cylindrical tank, the radius of the base is \( 40 \mathrm{~cm} \). If the increase in the level of water in the tank, in half an hour is \( 3.15 \mathrm{~m} \), find the internal diameter of the pipe.
Water in a canal $1.5\ m$ wide and $6\ m$ deep is flowing with a speed of $10\ km/hr$. How much area will it irrigate in 30 minutes if \( 8 \mathrm{~cm} \) of standing water is desired?
In one fortnight of a given month, there was a rainfall of \( 10 \mathrm{~cm} \) in a river valley. If the area of the valley is \( 7280 \mathrm{~km}^{2} \), show that the total rainfall was approximately equivalent to the addition to the normal water of three rivers each \( 1072 \mathrm{~km} \) long, \( 75 \mathrm{~m} \) wide and \( 3 \mathrm{~m} \) deep.
What is the cost of tiling a rectangular plot of land \( 500 \mathrm{~m} \) long and \( 200 \mathrm{~m} \) wide at the rate of \( Rs.\ 8 \) per hundred sq. m.?
The length, breadth and height of a room are \( 5 \mathrm{~m}, 4 \mathrm{~m} \) and \( 3 \mathrm{~m} \) respectively. Find the cost of whitewashing the walls of the room and the ceiling at the rate of Rs. \( 7.50 \) per \( \mathrm{m}^{2} \).
A person, rowing at the rate of \( 5 \mathrm{~km} / \mathrm{h} \) in still water, takes thrice as much time in going \( 40 \mathrm{~km} \) upstream as in going \( 40 \mathrm{~km} \) downstream. Find the speed of the stream.
Kickstart Your Career
Get certified by completing the course

Get Started