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Time and Work | Time and Work Exercise 11.1

Question 26

A pipe can fill a cistern in 10 hours. Due to a leak in the bottom it is filled in 12hours. When the cistern is full, in how much time will it be emptied by the leak?

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The given details are,

When there is no leakage A pipe can fill the cistern in = 10 hours

In 1 hour without leakage A pipe can fill the cistern in = 1/10 hours

When there is leakage cistern gets filled in = 12 hours

In 1 hour, when there is leakage cistern gets filled in = 1/12 hours

In 1 hour, due to leakage cistern gets filled to = 1/10 – 1/12

= (12-10)/120

= 2/120

= 1/60 part

∴ Due to leakage the cistern gets emptied in = 1/(1/60) = 60 hours.

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Question 26

A pipe can fill a cistern in 10 hours. Due to a leak in the bottom it is filled in 12hours. When the cistern is full, in how much time will it be emptied by the leak?

Looking to do well in your science exam ? Learn from an expert tutor. Book a free class!

The given details are,

When there is no leakage A pipe can fill the cistern in = 10 hours

In 1 hour without leakage A pipe can fill the cistern in = 1/10 hours

When there is leakage cistern gets filled in = 12 hours

In 1 hour, when there is leakage cistern gets filled in = 1/12 hours

In 1 hour, due to leakage cistern gets filled to = 1/10 – 1/12

= (12-10)/120

= 2/120

= 1/60 part

∴ Due to leakage the cistern gets emptied in = 1/(1/60) = 60 hours.

Our top 5% students will be awarded a special scholarship to Lido.

subject-cta
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