Question

Q 40. A pipe can fill a cistern in 1 hour 12 minutes but due to leakage in the bottom of the cistern, it is filled in 2 hours. If the cistern is
full, how long will the leak take to empty it?
Ops: A. О 200 minutes
B. O 180 minutes
C. O 150 minutes
D. O 120 minutes​

Answer 1

Answer:

180

Step-by-step explanation:

A pipe takes 72 min to fill without the leakage

and with leakage it takes 120 min

Thus the leakage time is 120-72=48 Min

Thus the Ratio,

Time taken by the Pipe without leakage=1/72

Time Takeb by the Pipe with Leakage=1/120

(1/72)-(1/120)=48/8640=1/180

Answer 2

Step-by-step explanation:

• So a pipe can fill a cistern when there is no leakage is 1 hour 12 min
•      60 min is 1 hour
•       12 min will be 12/60
•                                = 1/5 hours
•                                   = 1 + 1/5
•                                   = 6/5 hours
• Now without leakage a pipe can fill in 1 hour will be 5/6 hours
• So due to leakage the cistern will be filled in 2 hours
• Therefore in 1 hour the cistern gets filled will be ½ hours.
• Due to leakage cistern gets filled in 1 hour will be
•                                                    5/6 – ½
•                                                     = 5 – 3 /6
•                                                     = 1/3
• Therefore due to leakage the cistern gets emptied in 3 hours.
•         So 3 hours will be 60 x 3 = 180 minutes

Reference link will be

https://brainly.in/question/6360119