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Question Number 75896 by gugum last updated on 20/Dec/19

$$\mathrm{One}\mathrm{pipe}\mathrm{can}\mathrm{fill}\mathrm{a}\mathrm{tank}\mathrm{in}40\mathrm{minutes}$$$$\mathrm{and}\mathrm{an}\mathrm{outlet}\mathrm{pipe}\mathrm{can}\mathrm{empty}\mathrm{the}\mathrm{full}$$$$\mathrm{tank}\mathrm{in}24\mathrm{minutes}.\mathrm{If}\mathrm{both}\mathrm{the}\mathrm{pipes}$$$$\mathrm{are}\mathrm{opened}\mathrm{simultaneously},\mathrm{what}\mathrm{time}$$$$\mathrm{will}\mathrm{it}\mathrm{take}\mathrm{for}\mathrm{the}\mathrm{full}\mathrm{tank}\mathrm{to}\mathrm{be}$$$$\mathrm{emptied}?$$

Answered by mr W last updated on 20/Dec/19

$$pipetofill:\frac{1}{40}$$$$pipetoempty:\frac{1}{24}$$$$bothpipes\left(toempty\right):\frac{1}{24}-\frac{1}{40}$$$$time:\frac{1}{\frac{1}{24}-\frac{1}{40}}=\frac{40\times 24}{40-24}=60minutes$$

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