The water in a rectangular reservoir has a base $80 m \times 60 m$ and is $6.5 m$ deep. In what time(in hours) can the water be emptied by a pipe having a cross section in the form of a square of side $20 c m$ , if water runs through the pipe at the rate of $15 k m / h r$ ?

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C ( $52$ )
Volume of water in the reservoir
$= (80 \times 60 \times 6.5) m$ $^{3}$
$= 31200 m$ $^{3}$
Side of square $= 20 c m = 0.2 m$
$∴$ Its area $= 0.04 m$ $^{2}$
Rate of flow of water $= 15 k m / h r = 15000 m / h r$
The volume of the water emptied in $1$ hour
$= 15000 \times 0.04$
$= 600 m$ $^{3}$
Hence, the time taken to empty the reservoir
$= \frac{31200}{600}$
$= 52$ hours

Suggest Corrections

Similar questions

Q. The water in a rectangular reservoir having a base

80 m

60 m

6.5 m

deep. In what time can the water be emptied by a pipe of a square cross-section is of side

20 c m

, if the water runs through the pipe at the rate of

15 k m

per hours?

Water in a rectangular reservoir having base 80 m by 60 m is 6.5 m deep. In what time can the water be emptied by a pipe of which the cross-section is a square of side 20 cm, if the water runs through the pipe at the rate of 15 km/hr.

A cuboidal reservoir of base $80 m \times 60 m$ is $6.5 m$ deep. In what time(in hours) can the water be emptied by a pipe having a cross section in the form of a square of side $20 c m,$ if water runs through the pipe at the rate of $15 k m / h r ?$

The water in a rectangular reservoir has a base 80 m × 60 m and is 6.5 m deep. In what time(in hours) can the water be emptied by a pipe having a cross section in the form of a square of side 20 cm, if water runs through the pipe at the rate of 15 km/ hr?

Q. Water flows in a tank 150 m

\times

100 m at the base, through a pipe whose cross-section is 2 dm by 1.5 dm at the speed of 15 km per hour. In what time,
Will the water be 3 metres deep?

Join BYJU'S Learning Program

The water in a rectangular reservoir has a base 80 m×60 m and is 6.5 m deep. In what time(in hours) can the water be emptied by a pipe having a cross section in the form of a square of side 20 cm, if water runs through the pipe at the rate of 15 km/hr?

The water in a rectangular reservoir has a base $80 m \times 60 m$ and is $6.5 m$ deep. In what time(in hours) can the water be emptied by a pipe having a cross section in the form of a square of side $20 c m$ , if water runs through the pipe at the rate of $15 k m / h r$ ?