Question

pipe a can fill
an empty tank in 10 hour and pipe b can fill an empty tank in 12 hour. if both the pipe are open together in an empty tank, time taken to fill the empty tank

Answer 1

Answer:

5hrs 27 mins 28 seconds.

Step-by-step explanation:

Given :

Pipe 'A' can fill an empty tank in 10 hours, and pipe 'B' can fill the same tank in 12 hours,.

To Find :

The time taken by the both the pipe to fill the same tank when both of them are open at the same time.

Solution :

Pipe 'A' takes 10 hours to fill a tank,

⇒ The volume of tank filled by the pipe in 1 hour = $\frac{1}{10}$ of the total volume,

Pipe 'B' takes 12 hours to fill a tank,

⇒ The volume of tank filled by the pipe in 1 hour = $\frac{1}{12}$ of the total volume,

When both the pipes are open at the same time,

⇒ The volume of tank filled by both the pipes in 1 hour

= $\frac{1}{12}+\frac{1}{10}$ of the total volume,

$\frac{1}{10}+\frac{1}{12}=\frac{6}{60} + \frac{5}{60}=\frac{6 + 5}{60}=\frac{11}{60}$,.

Let the time taken be x,

Then,

$\frac{11}{60} x = 1$ ⇒ x = $\frac{60}{11}$ hours = 5 hours 27 minutes 17 seconds.

Answer 2

Answer:

refers to the attachment