A cistern can be filled by one tap in 5 hours and by another in 4 hours. How long will it take to fill if both the taps are opened simultaneously?
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Answered by
6
Answer:
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Step-by-step explanation:
Time taken by first tap to fill the cistern = 5 hours.
Work done by first tap in 1 hour = ¹/₅
Time taken by second tap to fill the cistern = 4 hours.
Work done by second tap in 1 hour = ¹/₄
Work done by (first tap + second tap) in 1 hour = (¹/₅ + ¹/₄) = ⁹/₂₀
Therefore, time taken by (first tap + second tap) to fill the cistern = 209 hours.
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Answered by
4
Answer:
Step-by-step explanation:
time taken by tap 1 to fill the cistern = 4h
work done in 1h = 1/4
time taken by tap 2 to fill the cistern = 3h
work done in 1 h = 1/3
one hour work of both taps = 1/4+1/3 =7/12
time taken by both taps to fill cistern =1÷7/12
=12/7 h
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