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Time and Work | Time and Work Exercise 11.1

Question 24

A cistern can be filled by one tap in 8 hours, and by another in 4 hours. Howlong will it take to fill the cistern if both taps are opened together?

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The given details are,

A cistern can be filled by one tap in = 8 hours

A cistern filled by one tap in 1 hour = 1/8

Another cistern can be filled in = 4 hours

Cistern filled by another tap in 1 hour = 1/4

Total cistern filled in 1 hour = 1/4 + 1/8

= (2+1)/8

= 3/8

∴ Cistern can be filled when both the taps are opened together in = 8/3 = 2 2/3 hours

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Question 24

A cistern can be filled by one tap in 8 hours, and by another in 4 hours. Howlong will it take to fill the cistern if both taps are opened together?

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

The given details are,

A cistern can be filled by one tap in = 8 hours

A cistern filled by one tap in 1 hour = 1/8

Another cistern can be filled in = 4 hours

Cistern filled by another tap in 1 hour = 1/4

Total cistern filled in 1 hour = 1/4 + 1/8

= (2+1)/8

= 3/8

∴ Cistern can be filled when both the taps are opened together in = 8/3 = 2 2/3 hours

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

subject-cta
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