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Question Number 94457 by MJS last updated on 18/May/20

$$apracticalexample$$$$1\mathrm{construction}\mathrm{worker}\mathrm{can}\mathrm{excavate}\mathrm{a}$$$$\mathrm{pit}\mathrm{in}3\mathrm{hours}.\mathrm{how}\mathrm{long}\mathrm{will}\mathrm{it}\mathrm{take}3$$$$\mathrm{workers}\mathrm{to}\mathrm{do}\mathrm{this}\mathrm{job}?$$

Answered by MJS last updated on 18/May/20

$$\mathrm{the}\mathrm{whole}\mathrm{day}\mathrm{at}\mathrm{least}$$$$\mathrm{the}\mathrm{first}\mathrm{worker}\mathrm{starts}\mathrm{to}\mathrm{dig}$$$$\mathrm{the}\mathrm{second}\mathrm{worker}\mathrm{helps}\mathrm{with}\mathrm{good}\mathrm{advice}$$$$\mathrm{and}\mathrm{waits}\mathrm{for}\mathrm{the}\mathrm{third}\mathrm{one}\mathrm{to}\mathrm{return}$$$$\mathrm{the}\mathrm{third}\mathrm{worker}\mathrm{left}\mathrm{to}\mathrm{buy}\mathrm{a}\mathrm{crate}\mathrm{of}\mathrm{beer}...$$

Commented by PRITHWISH SEN 2 last updated on 19/May/20

$$\mathrm{ha}\mathrm{ha}.....$$

Commented by mr W last updated on 19/May/20

$$theformulais:$$$$ifoneworkercandoajobinmhours,$$$$thenthesamejobcanbedonebyn$$$$workersin$$$${mn}^{n-1}hours$$

Commented by i jagooll last updated on 19/May/20

$$\mathrm{example}$$$$1\mathrm{worker}\Rightarrow 4\mathrm{hour}$$$$5\mathrm{worker}\Rightarrow 4\times 5^{5-1}\mathrm{hour}\mathrm{sir}?$$$$$$

Commented by mr W last updated on 19/May/20

$$thatmeans,if5ormoreworkersdoa$$$$jobtogether,practicallyseen,theywill$$$$neverfinish.$$

Commented by i jagooll last updated on 19/May/20

$$\mathrm{ha}\mathrm{ha}\mathrm{ha}...$$

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