Question

vessel having 30 m² of water is emptied through two openings, one small and the other large. Water flows out through the smaller opening at the rate of U m³/h and through the larger one at the rate of V m³/h. Given that 3U + 2V = 70 and that the vessel gets fully emptied in 1 hour, what is V?​

Answer 1

Answer:

v=20m³/h

Step-by-step explanation:

see the explanation

Answer 2

Given:

Total volume= $30m^3$

Small opening rate= $U m^3/h$

Large opening rate= $V m^3/h$

$3U+2V=70 m^3/h$

Total volume gets emptied by both the holes in 1 hr.

To Find:

Value of V.

Solution:

Framing the equations from the given conditions:

$U+V=30$..............................(1)( total volume gets emptied in 1 hr)

$3U+2V=70$..........................(2)(given)

Solving eq(1) and eq(2) by Substitution method , we get,

V=    $20 m^3/h$

Hence the value of V is $20 m^3/h$.