Please a bit detailed explanation.A cistern can be filled by one tap in 8 hours and by another in 4 hours.How long will it take to fill the cistern if both taps are opened together?
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Time taken by tap A to fill the cistern = 8 hours.
Work done by tap A in 1 hour = ¹/₈
Time taken by tap B to fill the cistern = 4 hours.
Work done by tap B in 1 hour = ¹/₄
Work done by (A + B) in 1 hour = (¹/₈ + ¹/₄) = ³/₈
Therefore, time taken by (A + B) to fill the cistern = ⁸/₃ hours = 2 hours 40 min.
hope it helps
Work done by tap A in 1 hour = ¹/₈
Time taken by tap B to fill the cistern = 4 hours.
Work done by tap B in 1 hour = ¹/₄
Work done by (A + B) in 1 hour = (¹/₈ + ¹/₄) = ³/₈
Therefore, time taken by (A + B) to fill the cistern = ⁸/₃ hours = 2 hours 40 min.
hope it helps
honerjames7:
thank you so much !!!
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